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Finding the Fourth Proportional to 278,759.04, 384,675.15 and 157,897.90

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Solution

The fourth proportional to 278,759.04, 384,675.15 and 157,897.90 is: 217,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,759.04 : 384,675.15 = 157,897.90 : x
  2. Step 2: Convert to fraction form
    278,759.04/384,675.15 = 157,897.90/x
  3. Step 3: Cross multiply
    278,759.04x = 384,675.15 × 157,897.90
  4. Step 4: Simplify right side
    278,759.04x = 60,739,398,367.19
  5. Step 5: Solve for x
    x = 60,739,398,367.19/278,759.04
  6. Step 6: Final answer
    x = 217,892.12

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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.