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Finding the Fourth Proportional to 458,472.90, 686,154.15 and 402,485.70

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Solution

The fourth proportional to 458,472.90, 686,154.15 and 402,485.70 is: 602,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,472.90 : 686,154.15 = 402,485.70 : x
  2. Step 2: Convert to fraction form
    458,472.90/686,154.15 = 402,485.70/x
  3. Step 3: Cross multiply
    458,472.90x = 686,154.15 × 402,485.70
  4. Step 4: Simplify right side
    458,472.90x = 276,167,233,370.66
  5. Step 5: Solve for x
    x = 276,167,233,370.66/458,472.90
  6. Step 6: Final answer
    x = 602,363.27

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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.