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Finding the Fourth Proportional to 409,490.20, 614,321.70 and 129,035.80

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Solution

The fourth proportional to 409,490.20, 614,321.70 and 129,035.80 is: 193,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,490.20 : 614,321.70 = 129,035.80 : x
  2. Step 2: Convert to fraction form
    409,490.20/614,321.70 = 129,035.80/x
  3. Step 3: Cross multiply
    409,490.20x = 614,321.70 × 129,035.80
  4. Step 4: Simplify right side
    409,490.20x = 79,269,492,016.86
  5. Step 5: Solve for x
    x = 79,269,492,016.86/409,490.20
  6. Step 6: Final answer
    x = 193,580.93

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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.