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Finding the Fourth Proportional to 399,251.31, 550,933.72 and 227,123.47

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Solution

The fourth proportional to 399,251.31, 550,933.72 and 227,123.47 is: 313,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,251.31 : 550,933.72 = 227,123.47 : x
  2. Step 2: Convert to fraction form
    399,251.31/550,933.72 = 227,123.47/x
  3. Step 3: Cross multiply
    399,251.31x = 550,933.72 × 227,123.47
  4. Step 4: Simplify right side
    399,251.31x = 125,129,977,090.79
  5. Step 5: Solve for x
    x = 125,129,977,090.79/399,251.31
  6. Step 6: Final answer
    x = 313,411.56

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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.