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Finding the Fourth Proportional to 647,106.10, 970,659.15 and 226,327.30

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Solution

The fourth proportional to 647,106.10, 970,659.15 and 226,327.30 is: 339,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,106.10 : 970,659.15 = 226,327.30 : x
  2. Step 2: Convert to fraction form
    647,106.10/970,659.15 = 226,327.30/x
  3. Step 3: Cross multiply
    647,106.10x = 970,659.15 × 226,327.30
  4. Step 4: Simplify right side
    647,106.10x = 219,686,664,639.80
  5. Step 5: Solve for x
    x = 219,686,664,639.80/647,106.10
  6. Step 6: Final answer
    x = 339,490.95

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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.