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Finding the Fourth Proportional to 502,387.20, 752,414.40 and 343,756.80

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Solution

The fourth proportional to 502,387.20, 752,414.40 and 343,756.80 is: 514,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,387.20 : 752,414.40 = 343,756.80 : x
  2. Step 2: Convert to fraction form
    502,387.20/752,414.40 = 343,756.80/x
  3. Step 3: Cross multiply
    502,387.20x = 752,414.40 × 343,756.80
  4. Step 4: Simplify right side
    502,387.20x = 258,647,566,417.92
  5. Step 5: Solve for x
    x = 258,647,566,417.92/502,387.20
  6. Step 6: Final answer
    x = 514,837.09

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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.