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Finding the Fourth Proportional to 409,388.70, 614,169.45 and 128,934.30

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Solution

The fourth proportional to 409,388.70, 614,169.45 and 128,934.30 is: 193,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,388.70 : 614,169.45 = 128,934.30 : x
  2. Step 2: Convert to fraction form
    409,388.70/614,169.45 = 128,934.30/x
  3. Step 3: Cross multiply
    409,388.70x = 614,169.45 × 128,934.30
  4. Step 4: Simplify right side
    409,388.70x = 79,187,508,117.14
  5. Step 5: Solve for x
    x = 79,187,508,117.14/409,388.70
  6. Step 6: Final answer
    x = 193,428.66

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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.