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Finding the Fourth Proportional to 278,707.66, 418,082.34 and 79,044.12

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Solution

The fourth proportional to 278,707.66, 418,082.34 and 79,044.12 is: 118,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,707.66 : 418,082.34 = 79,044.12 : x
  2. Step 2: Convert to fraction form
    278,707.66/418,082.34 = 79,044.12/x
  3. Step 3: Cross multiply
    278,707.66x = 418,082.34 × 79,044.12
  4. Step 4: Simplify right side
    278,707.66x = 33,046,950,652.84
  5. Step 5: Solve for x
    x = 33,046,950,652.84/278,707.66
  6. Step 6: Final answer
    x = 118,572.09

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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.