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Finding the Fourth Proportional to 488,755.20, 732,902.72 and 189,376

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Solution

The fourth proportional to 488,755.20, 732,902.72 and 189,376 is: 283,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,755.20 : 732,902.72 = 189,376 : x
  2. Step 2: Convert to fraction form
    488,755.20/732,902.72 = 189,376/x
  3. Step 3: Cross multiply
    488,755.20x = 732,902.72 × 189,376
  4. Step 4: Simplify right side
    488,755.20x = 138,794,185,502.72
  5. Step 5: Solve for x
    x = 138,794,185,502.72/488,755.20
  6. Step 6: Final answer
    x = 283,974.85

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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.