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Finding the Fourth Proportional to 664,644.90, 996,967.35 and 221,412.90

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Solution

The fourth proportional to 664,644.90, 996,967.35 and 221,412.90 is: 332,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,644.90 : 996,967.35 = 221,412.90 : x
  2. Step 2: Convert to fraction form
    664,644.90/996,967.35 = 221,412.90/x
  3. Step 3: Cross multiply
    664,644.90x = 996,967.35 × 221,412.90
  4. Step 4: Simplify right side
    664,644.90x = 220,741,432,168.82
  5. Step 5: Solve for x
    x = 220,741,432,168.82/664,644.90
  6. Step 6: Final answer
    x = 332,119.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.