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Finding the Fourth Proportional to 409,461.20, 614,278.20 and 129,006.80

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Solution

The fourth proportional to 409,461.20, 614,278.20 and 129,006.80 is: 193,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,461.20 : 614,278.20 = 129,006.80 : x
  2. Step 2: Convert to fraction form
    409,461.20/614,278.20 = 129,006.80/x
  3. Step 3: Cross multiply
    409,461.20x = 614,278.20 × 129,006.80
  4. Step 4: Simplify right side
    409,461.20x = 79,246,064,891.76
  5. Step 5: Solve for x
    x = 79,246,064,891.76/409,461.20
  6. Step 6: Final answer
    x = 193,537.42

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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.