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Finding the Fourth Proportional to 399,033.83, 598,417.97 and 129,097.86

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Solution

The fourth proportional to 399,033.83, 598,417.97 and 129,097.86 is: 193,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,033.83 : 598,417.97 = 129,097.86 : x
  2. Step 2: Convert to fraction form
    399,033.83/598,417.97 = 129,097.86/x
  3. Step 3: Cross multiply
    399,033.83x = 598,417.97 × 129,097.86
  4. Step 4: Simplify right side
    399,033.83x = 77,254,478,667.05
  5. Step 5: Solve for x
    x = 77,254,478,667.05/399,033.83
  6. Step 6: Final answer
    x = 193,603.83

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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.