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Finding the Fourth Proportional to 278,755.63, 384,655.03 and 157,872.85

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Solution

The fourth proportional to 278,755.63, 384,655.03 and 157,872.85 is: 217,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,755.63 : 384,655.03 = 157,872.85 : x
  2. Step 2: Convert to fraction form
    278,755.63/384,655.03 = 157,872.85/x
  3. Step 3: Cross multiply
    278,755.63x = 384,655.03 × 157,872.85
  4. Step 4: Simplify right side
    278,755.63x = 60,726,584,496.62
  5. Step 5: Solve for x
    x = 60,726,584,496.62/278,755.63
  6. Step 6: Final answer
    x = 217,848.82

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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.