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Finding the Fourth Proportional to 458,475.40, 687,713.10 and 142,929.80

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Solution

The fourth proportional to 458,475.40, 687,713.10 and 142,929.80 is: 214,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,475.40 : 687,713.10 = 142,929.80 : x
  2. Step 2: Convert to fraction form
    458,475.40/687,713.10 = 142,929.80/x
  3. Step 3: Cross multiply
    458,475.40x = 687,713.10 × 142,929.80
  4. Step 4: Simplify right side
    458,475.40x = 98,294,695,840.38
  5. Step 5: Solve for x
    x = 98,294,695,840.38/458,475.40
  6. Step 6: Final answer
    x = 214,394.70

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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.