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Finding the Fourth Proportional to 278,563.76, 418,011.66 and 101,084.61

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Solution

The fourth proportional to 278,563.76, 418,011.66 and 101,084.61 is: 151,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,563.76 : 418,011.66 = 101,084.61 : x
  2. Step 2: Convert to fraction form
    278,563.76/418,011.66 = 101,084.61/x
  3. Step 3: Cross multiply
    278,563.76x = 418,011.66 × 101,084.61
  4. Step 4: Simplify right side
    278,563.76x = 42,254,545,626.55
  5. Step 5: Solve for x
    x = 42,254,545,626.55/278,563.76
  6. Step 6: Final answer
    x = 151,687.16

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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.