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Finding the Fourth Proportional to 278,672.16, 384,591.30 and 157,834.94

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Solution

The fourth proportional to 278,672.16, 384,591.30 and 157,834.94 is: 217,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,672.16 : 384,591.30 = 157,834.94 : x
  2. Step 2: Convert to fraction form
    278,672.16/384,591.30 = 157,834.94/x
  3. Step 3: Cross multiply
    278,672.16x = 384,591.30 × 157,834.94
  4. Step 4: Simplify right side
    278,672.16x = 60,701,944,760.02
  5. Step 5: Solve for x
    x = 60,701,944,760.02/278,672.16
  6. Step 6: Final answer
    x = 217,825.65

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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.