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Finding the Fourth Proportional to 458,693.70, 688,040.55 and 429,169.20

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Solution

The fourth proportional to 458,693.70, 688,040.55 and 429,169.20 is: 643,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,693.70 : 688,040.55 = 429,169.20 : x
  2. Step 2: Convert to fraction form
    458,693.70/688,040.55 = 429,169.20/x
  3. Step 3: Cross multiply
    458,693.70x = 688,040.55 × 429,169.20
  4. Step 4: Simplify right side
    458,693.70x = 295,285,812,411.06
  5. Step 5: Solve for x
    x = 295,285,812,411.06/458,693.70
  6. Step 6: Final answer
    x = 643,753.80

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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.