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Finding the Fourth Proportional to 543,665.24, 815,791.14 and 319,463.72

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Solution

The fourth proportional to 543,665.24, 815,791.14 and 319,463.72 is: 479,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,665.24 : 815,791.14 = 319,463.72 : x
  2. Step 2: Convert to fraction form
    543,665.24/815,791.14 = 319,463.72/x
  3. Step 3: Cross multiply
    543,665.24x = 815,791.14 × 319,463.72
  4. Step 4: Simplify right side
    543,665.24x = 260,615,672,327.44
  5. Step 5: Solve for x
    x = 260,615,672,327.44/543,665.24
  6. Step 6: Final answer
    x = 479,367.91

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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.