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Finding the Fourth Proportional to 512,186.80, 768,280.20 and 138,209.20

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Solution

The fourth proportional to 512,186.80, 768,280.20 and 138,209.20 is: 207,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,186.80 : 768,280.20 = 138,209.20 : x
  2. Step 2: Convert to fraction form
    512,186.80/768,280.20 = 138,209.20/x
  3. Step 3: Cross multiply
    512,186.80x = 768,280.20 × 138,209.20
  4. Step 4: Simplify right side
    512,186.80x = 106,183,391,817.84
  5. Step 5: Solve for x
    x = 106,183,391,817.84/512,186.80
  6. Step 6: Final answer
    x = 207,313.80

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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.