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Finding the Fourth Proportional to 539,882.48, 810,314.85 and 287,375.24

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Solution

The fourth proportional to 539,882.48, 810,314.85 and 287,375.24 is: 431,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,882.48 : 810,314.85 = 287,375.24 : x
  2. Step 2: Convert to fraction form
    539,882.48/810,314.85 = 287,375.24/x
  3. Step 3: Cross multiply
    539,882.48x = 810,314.85 × 287,375.24
  4. Step 4: Simplify right side
    539,882.48x = 232,864,424,494.31
  5. Step 5: Solve for x
    x = 232,864,424,494.31/539,882.48
  6. Step 6: Final answer
    x = 431,324.28

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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.