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Finding the Fourth Proportional to 439,221.08, 658,876.44 and 119,378

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Solution

The fourth proportional to 439,221.08, 658,876.44 and 119,378 is: 179,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,221.08 : 658,876.44 = 119,378 : x
  2. Step 2: Convert to fraction form
    439,221.08/658,876.44 = 119,378/x
  3. Step 3: Cross multiply
    439,221.08x = 658,876.44 × 119,378
  4. Step 4: Simplify right side
    439,221.08x = 78,655,351,654.32
  5. Step 5: Solve for x
    x = 78,655,351,654.32/439,221.08
  6. Step 6: Final answer
    x = 179,079.18

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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.