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Finding the Fourth Proportional to 665,149.80, 997,724.70 and 654,652.20

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Solution

The fourth proportional to 665,149.80, 997,724.70 and 654,652.20 is: 981,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,149.80 : 997,724.70 = 654,652.20 : x
  2. Step 2: Convert to fraction form
    665,149.80/997,724.70 = 654,652.20/x
  3. Step 3: Cross multiply
    665,149.80x = 997,724.70 × 654,652.20
  4. Step 4: Simplify right side
    665,149.80x = 653,162,669,849.34
  5. Step 5: Solve for x
    x = 653,162,669,849.34/665,149.80
  6. Step 6: Final answer
    x = 981,978.30

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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.