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Finding the Fourth Proportional to 458,635.38, 688,071.87 and 174,330.78

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Solution

The fourth proportional to 458,635.38, 688,071.87 and 174,330.78 is: 261,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,635.38 : 688,071.87 = 174,330.78 : x
  2. Step 2: Convert to fraction form
    458,635.38/688,071.87 = 174,330.78/x
  3. Step 3: Cross multiply
    458,635.38x = 688,071.87 × 174,330.78
  4. Step 4: Simplify right side
    458,635.38x = 119,952,105,793.16
  5. Step 5: Solve for x
    x = 119,952,105,793.16/458,635.38
  6. Step 6: Final answer
    x = 261,541.33

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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.