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Finding the Fourth Proportional to 278,978.04, 418,134.85 and 194,279.60

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Solution

The fourth proportional to 278,978.04, 418,134.85 and 194,279.60 is: 291,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,978.04 : 418,134.85 = 194,279.60 : x
  2. Step 2: Convert to fraction form
    278,978.04/418,134.85 = 194,279.60/x
  3. Step 3: Cross multiply
    278,978.04x = 418,134.85 × 194,279.60
  4. Step 4: Simplify right side
    278,978.04x = 81,235,071,963.70
  5. Step 5: Solve for x
    x = 81,235,071,963.70/278,978.04
  6. Step 6: Final answer
    x = 291,188.05

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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.