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Finding the Fourth Proportional to 493,310.80, 739,882.74 and 138,243.10

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Solution

The fourth proportional to 493,310.80, 739,882.74 and 138,243.10 is: 207,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,310.80 : 739,882.74 = 138,243.10 : x
  2. Step 2: Convert to fraction form
    493,310.80/739,882.74 = 138,243.10/x
  3. Step 3: Cross multiply
    493,310.80x = 739,882.74 × 138,243.10
  4. Step 4: Simplify right side
    493,310.80x = 102,283,683,614.09
  5. Step 5: Solve for x
    x = 102,283,683,614.09/493,310.80
  6. Step 6: Final answer
    x = 207,341.26

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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.