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Finding the Fourth Proportional to 252,487.86, 378,444.03 and 157,761.78

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Solution

The fourth proportional to 252,487.86, 378,444.03 and 157,761.78 is: 236,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,487.86 : 378,444.03 = 157,761.78 : x
  2. Step 2: Convert to fraction form
    252,487.86/378,444.03 = 157,761.78/x
  3. Step 3: Cross multiply
    252,487.86x = 378,444.03 × 157,761.78
  4. Step 4: Simplify right side
    252,487.86x = 59,704,003,803.17
  5. Step 5: Solve for x
    x = 59,704,003,803.17/252,487.86
  6. Step 6: Final answer
    x = 236,462.87

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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.