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Finding the Fourth Proportional to 458,663.40, 687,411.90 and 408,508.20

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Solution

The fourth proportional to 458,663.40, 687,411.90 and 408,508.20 is: 612,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,663.40 : 687,411.90 = 408,508.20 : x
  2. Step 2: Convert to fraction form
    458,663.40/687,411.90 = 408,508.20/x
  3. Step 3: Cross multiply
    458,663.40x = 687,411.90 × 408,508.20
  4. Step 4: Simplify right side
    458,663.40x = 280,813,397,927.58
  5. Step 5: Solve for x
    x = 280,813,397,927.58/458,663.40
  6. Step 6: Final answer
    x = 612,242.87

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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.