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Finding the Fourth Proportional to 263,787.11, 363,978.28 and 147,502.68

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Solution

The fourth proportional to 263,787.11, 363,978.28 and 147,502.68 is: 203,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,787.11 : 363,978.28 = 147,502.68 : x
  2. Step 2: Convert to fraction form
    263,787.11/363,978.28 = 147,502.68/x
  3. Step 3: Cross multiply
    263,787.11x = 363,978.28 × 147,502.68
  4. Step 4: Simplify right side
    263,787.11x = 53,687,771,761.79
  5. Step 5: Solve for x
    x = 53,687,771,761.79/263,787.11
  6. Step 6: Final answer
    x = 203,526.90

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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.