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Finding the Fourth Proportional to 279,296.80, 418,944.56 and 101,731.23

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Solution

The fourth proportional to 279,296.80, 418,944.56 and 101,731.23 is: 152,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,296.80 : 418,944.56 = 101,731.23 : x
  2. Step 2: Convert to fraction form
    279,296.80/418,944.56 = 101,731.23/x
  3. Step 3: Cross multiply
    279,296.80x = 418,944.56 × 101,731.23
  4. Step 4: Simplify right side
    279,296.80x = 42,619,744,881.95
  5. Step 5: Solve for x
    x = 42,619,744,881.95/279,296.80
  6. Step 6: Final answer
    x = 152,596.61

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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.