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Finding the Fourth Proportional to 278,553.68, 417,670.26 and 148,562.11

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Solution

The fourth proportional to 278,553.68, 417,670.26 and 148,562.11 is: 222,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,553.68 : 417,670.26 = 148,562.11 : x
  2. Step 2: Convert to fraction form
    278,553.68/417,670.26 = 148,562.11/x
  3. Step 3: Cross multiply
    278,553.68x = 417,670.26 × 148,562.11
  4. Step 4: Simplify right side
    278,553.68x = 62,049,975,109.85
  5. Step 5: Solve for x
    x = 62,049,975,109.85/278,553.68
  6. Step 6: Final answer
    x = 222,757.69

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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.