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Finding the Fourth Proportional to 663,871.72, 995,808.19 and 284,546.30

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Solution

The fourth proportional to 663,871.72, 995,808.19 and 284,546.30 is: 426,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,871.72 : 995,808.19 = 284,546.30 : x
  2. Step 2: Convert to fraction form
    663,871.72/995,808.19 = 284,546.30/x
  3. Step 3: Cross multiply
    663,871.72x = 995,808.19 × 284,546.30
  4. Step 4: Simplify right side
    663,871.72x = 283,353,535,974.20
  5. Step 5: Solve for x
    x = 283,353,535,974.20/663,871.72
  6. Step 6: Final answer
    x = 426,819.71

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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.