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Finding the Fourth Proportional to 389,102.32, 583,722.60 and 132,920.92

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Solution

The fourth proportional to 389,102.32, 583,722.60 and 132,920.92 is: 199,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,102.32 : 583,722.60 = 132,920.92 : x
  2. Step 2: Convert to fraction form
    389,102.32/583,722.60 = 132,920.92/x
  3. Step 3: Cross multiply
    389,102.32x = 583,722.60 × 132,920.92
  4. Step 4: Simplify right side
    389,102.32x = 77,588,945,016.79
  5. Step 5: Solve for x
    x = 77,588,945,016.79/389,102.32
  6. Step 6: Final answer
    x = 199,404.99

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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.