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Finding the Fourth Proportional to 409,659.20, 614,575.20 and 129,204.80

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Solution

The fourth proportional to 409,659.20, 614,575.20 and 129,204.80 is: 193,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,659.20 : 614,575.20 = 129,204.80 : x
  2. Step 2: Convert to fraction form
    409,659.20/614,575.20 = 129,204.80/x
  3. Step 3: Cross multiply
    409,659.20x = 614,575.20 × 129,204.80
  4. Step 4: Simplify right side
    409,659.20x = 79,406,065,800.96
  5. Step 5: Solve for x
    x = 79,406,065,800.96/409,659.20
  6. Step 6: Final answer
    x = 193,834.45

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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.