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Finding the Fourth Proportional to 391,049.64, 586,796.34 and 211,132.67

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Solution

The fourth proportional to 391,049.64, 586,796.34 and 211,132.67 is: 316,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,049.64 : 586,796.34 = 211,132.67 : x
  2. Step 2: Convert to fraction form
    391,049.64/586,796.34 = 211,132.67/x
  3. Step 3: Cross multiply
    391,049.64x = 586,796.34 × 211,132.67
  4. Step 4: Simplify right side
    391,049.64x = 123,891,875,076.45
  5. Step 5: Solve for x
    x = 123,891,875,076.45/391,049.64
  6. Step 6: Final answer
    x = 316,818.79

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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.