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Finding the Fourth Proportional to 512,189.80, 768,284.70 and 138,212.20

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Solution

The fourth proportional to 512,189.80, 768,284.70 and 138,212.20 is: 207,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,189.80 : 768,284.70 = 138,212.20 : x
  2. Step 2: Convert to fraction form
    512,189.80/768,284.70 = 138,212.20/x
  3. Step 3: Cross multiply
    512,189.80x = 768,284.70 × 138,212.20
  4. Step 4: Simplify right side
    512,189.80x = 106,186,318,613.34
  5. Step 5: Solve for x
    x = 106,186,318,613.34/512,189.80
  6. Step 6: Final answer
    x = 207,318.30

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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.