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Finding the Fourth Proportional to 399,034.83, 598,419.46 and 129,098.86

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Solution

The fourth proportional to 399,034.83, 598,419.46 and 129,098.86 is: 193,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,034.83 : 598,419.46 = 129,098.86 : x
  2. Step 2: Convert to fraction form
    399,034.83/598,419.46 = 129,098.86/x
  3. Step 3: Cross multiply
    399,034.83x = 598,419.46 × 129,098.86
  4. Step 4: Simplify right side
    399,034.83x = 77,255,270,087.82
  5. Step 5: Solve for x
    x = 77,255,270,087.82/399,034.83
  6. Step 6: Final answer
    x = 193,605.33

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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.