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Finding the Fourth Proportional to 409,447.20, 614,257.20 and 128,992.80

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Solution

The fourth proportional to 409,447.20, 614,257.20 and 128,992.80 is: 193,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,447.20 : 614,257.20 = 128,992.80 : x
  2. Step 2: Convert to fraction form
    409,447.20/614,257.20 = 128,992.80/x
  3. Step 3: Cross multiply
    409,447.20x = 614,257.20 × 128,992.80
  4. Step 4: Simplify right side
    409,447.20x = 79,234,756,148.16
  5. Step 5: Solve for x
    x = 79,234,756,148.16/409,447.20
  6. Step 6: Final answer
    x = 193,516.42

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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.