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Finding the Fourth Proportional to 278,474.22, 384,294.86 and 151,149.86

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Solution

The fourth proportional to 278,474.22, 384,294.86 and 151,149.86 is: 208,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,474.22 : 384,294.86 = 151,149.86 : x
  2. Step 2: Convert to fraction form
    278,474.22/384,294.86 = 151,149.86/x
  3. Step 3: Cross multiply
    278,474.22x = 384,294.86 × 151,149.86
  4. Step 4: Simplify right side
    278,474.22x = 58,086,114,287.72
  5. Step 5: Solve for x
    x = 58,086,114,287.72/278,474.22
  6. Step 6: Final answer
    x = 208,587.04

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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.