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Finding the Fourth Proportional to 391,087.72, 586,849.57 and 211,169.34

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Solution

The fourth proportional to 391,087.72, 586,849.57 and 211,169.34 is: 316,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,087.72 : 586,849.57 = 211,169.34 : x
  2. Step 2: Convert to fraction form
    391,087.72/586,849.57 = 211,169.34/x
  3. Step 3: Cross multiply
    391,087.72x = 586,849.57 × 211,169.34
  4. Step 4: Simplify right side
    391,087.72x = 123,924,635,848.26
  5. Step 5: Solve for x
    x = 123,924,635,848.26/391,087.72
  6. Step 6: Final answer
    x = 316,871.71

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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.