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Finding the Fourth Proportional to 278,473.38, 417,770.73 and 158,587.03

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Solution

The fourth proportional to 278,473.38, 417,770.73 and 158,587.03 is: 237,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,473.38 : 417,770.73 = 158,587.03 : x
  2. Step 2: Convert to fraction form
    278,473.38/417,770.73 = 158,587.03/x
  3. Step 3: Cross multiply
    278,473.38x = 417,770.73 × 158,587.03
  4. Step 4: Simplify right side
    278,473.38x = 66,253,019,813.85
  5. Step 5: Solve for x
    x = 66,253,019,813.85/278,473.38
  6. Step 6: Final answer
    x = 237,915.10

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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.