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Finding the Fourth Proportional to 409,431.20, 614,233.20 and 128,976.80

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Solution

The fourth proportional to 409,431.20, 614,233.20 and 128,976.80 is: 193,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,431.20 : 614,233.20 = 128,976.80 : x
  2. Step 2: Convert to fraction form
    409,431.20/614,233.20 = 128,976.80/x
  3. Step 3: Cross multiply
    409,431.20x = 614,233.20 × 128,976.80
  4. Step 4: Simplify right side
    409,431.20x = 79,221,832,589.76
  5. Step 5: Solve for x
    x = 79,221,832,589.76/409,431.20
  6. Step 6: Final answer
    x = 193,492.42

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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.