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Finding the Fourth Proportional to 488,632.52, 732,951.98 and 133,638.60

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Solution

The fourth proportional to 488,632.52, 732,951.98 and 133,638.60 is: 200,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,632.52 : 732,951.98 = 133,638.60 : x
  2. Step 2: Convert to fraction form
    488,632.52/732,951.98 = 133,638.60/x
  3. Step 3: Cross multiply
    488,632.52x = 732,951.98 × 133,638.60
  4. Step 4: Simplify right side
    488,632.52x = 97,950,676,474.43
  5. Step 5: Solve for x
    x = 97,950,676,474.43/488,632.52
  6. Step 6: Final answer
    x = 200,458.78

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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.