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Finding the Fourth Proportional to 498,750.30, 748,284.84 and 178,686.09

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Solution

The fourth proportional to 498,750.30, 748,284.84 and 178,686.09 is: 268,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,750.30 : 748,284.84 = 178,686.09 : x
  2. Step 2: Convert to fraction form
    498,750.30/748,284.84 = 178,686.09/x
  3. Step 3: Cross multiply
    498,750.30x = 748,284.84 × 178,686.09
  4. Step 4: Simplify right side
    498,750.30x = 133,708,092,265.88
  5. Step 5: Solve for x
    x = 133,708,092,265.88/498,750.30
  6. Step 6: Final answer
    x = 268,086.24

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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.