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Finding the Fourth Proportional to 391,074, 539,682.12 and 212,226

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Solution

The fourth proportional to 391,074, 539,682.12 and 212,226 is: 292,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,074 : 539,682.12 = 212,226 : x
  2. Step 2: Convert to fraction form
    391,074/539,682.12 = 212,226/x
  3. Step 3: Cross multiply
    391,074x = 539,682.12 × 212,226
  4. Step 4: Simplify right side
    391,074x = 114,534,577,599.12
  5. Step 5: Solve for x
    x = 114,534,577,599.12/391,074
  6. Step 6: Final answer
    x = 292,871.88

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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.