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Finding the Fourth Proportional to 278,882.24, 418,373.58 and 101,638.04

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Solution

The fourth proportional to 278,882.24, 418,373.58 and 101,638.04 is: 152,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,882.24 : 418,373.58 = 101,638.04 : x
  2. Step 2: Convert to fraction form
    278,882.24/418,373.58 = 101,638.04/x
  3. Step 3: Cross multiply
    278,882.24x = 418,373.58 × 101,638.04
  4. Step 4: Simplify right side
    278,882.24x = 42,522,670,658.98
  5. Step 5: Solve for x
    x = 42,522,670,658.98/278,882.24
  6. Step 6: Final answer
    x = 152,475.36

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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.