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Finding the Fourth Proportional to 512,188.80, 768,283.20 and 138,211.20

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Solution

The fourth proportional to 512,188.80, 768,283.20 and 138,211.20 is: 207,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,188.80 : 768,283.20 = 138,211.20 : x
  2. Step 2: Convert to fraction form
    512,188.80/768,283.20 = 138,211.20/x
  3. Step 3: Cross multiply
    512,188.80x = 768,283.20 × 138,211.20
  4. Step 4: Simplify right side
    512,188.80x = 106,185,343,011.84
  5. Step 5: Solve for x
    x = 106,185,343,011.84/512,188.80
  6. Step 6: Final answer
    x = 207,316.80

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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.