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Finding the Fourth Proportional to 278,319.62, 384,100.10 and 157,460.87

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Solution

The fourth proportional to 278,319.62, 384,100.10 and 157,460.87 is: 217,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,319.62 : 384,100.10 = 157,460.87 : x
  2. Step 2: Convert to fraction form
    278,319.62/384,100.10 = 157,460.87/x
  3. Step 3: Cross multiply
    278,319.62x = 384,100.10 × 157,460.87
  4. Step 4: Simplify right side
    278,319.62x = 60,480,735,913.09
  5. Step 5: Solve for x
    x = 60,480,735,913.09/278,319.62
  6. Step 6: Final answer
    x = 217,306.76

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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.