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Finding the Fourth Proportional to 521,566.80, 782,350.20 and 284,780.30

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Solution

The fourth proportional to 521,566.80, 782,350.20 and 284,780.30 is: 427,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,566.80 : 782,350.20 = 284,780.30 : x
  2. Step 2: Convert to fraction form
    521,566.80/782,350.20 = 284,780.30/x
  3. Step 3: Cross multiply
    521,566.80x = 782,350.20 × 284,780.30
  4. Step 4: Simplify right side
    521,566.80x = 222,797,924,661.06
  5. Step 5: Solve for x
    x = 222,797,924,661.06/521,566.80
  6. Step 6: Final answer
    x = 427,170.45

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Double scale
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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.