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Finding the Fourth Proportional to 419,937.38, 579,488.61 and 238,624.15

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Solution

The fourth proportional to 419,937.38, 579,488.61 and 238,624.15 is: 329,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,937.38 : 579,488.61 = 238,624.15 : x
  2. Step 2: Convert to fraction form
    419,937.38/579,488.61 = 238,624.15/x
  3. Step 3: Cross multiply
    419,937.38x = 579,488.61 × 238,624.15
  4. Step 4: Simplify right side
    419,937.38x = 138,279,977,528.59
  5. Step 5: Solve for x
    x = 138,279,977,528.59/419,937.38
  6. Step 6: Final answer
    x = 329,287.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.