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Finding the Fourth Proportional to 382,098.12, 527,284.92 and 212,327.88

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Solution

The fourth proportional to 382,098.12, 527,284.92 and 212,327.88 is: 293,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,098.12 : 527,284.92 = 212,327.88 : x
  2. Step 2: Convert to fraction form
    382,098.12/527,284.92 = 212,327.88/x
  3. Step 3: Cross multiply
    382,098.12x = 527,284.92 × 212,327.88
  4. Step 4: Simplify right side
    382,098.12x = 111,957,289,219.57
  5. Step 5: Solve for x
    x = 111,957,289,219.57/382,098.12
  6. Step 6: Final answer
    x = 293,006.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.