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Finding the Fourth Proportional to 512,584.13, 768,876.20 and 138,607.13

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Solution

The fourth proportional to 512,584.13, 768,876.20 and 138,607.13 is: 207,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,584.13 : 768,876.20 = 138,607.13 : x
  2. Step 2: Convert to fraction form
    512,584.13/768,876.20 = 138,607.13/x
  3. Step 3: Cross multiply
    512,584.13x = 768,876.20 × 138,607.13
  4. Step 4: Simplify right side
    512,584.13x = 106,571,718,869.89
  5. Step 5: Solve for x
    x = 106,571,718,869.89/512,584.13
  6. Step 6: Final answer
    x = 207,910.69

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Similar ratio
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1.5x scale

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.