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Finding the Fourth Proportional to 278,251.52, 383,952.12 and 155,740.64

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Solution

The fourth proportional to 278,251.52, 383,952.12 and 155,740.64 is: 214,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,251.52 : 383,952.12 = 155,740.64 : x
  2. Step 2: Convert to fraction form
    278,251.52/383,952.12 = 155,740.64/x
  3. Step 3: Cross multiply
    278,251.52x = 383,952.12 × 155,740.64
  4. Step 4: Simplify right side
    278,251.52x = 59,796,948,898.16
  5. Step 5: Solve for x
    x = 59,796,948,898.16/278,251.52
  6. Step 6: Final answer
    x = 214,902.51

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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.