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Finding the Fourth Proportional to 391,113.52, 586,838.84 and 211,163.20

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Solution

The fourth proportional to 391,113.52, 586,838.84 and 211,163.20 is: 316,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,113.52 : 586,838.84 = 211,163.20 : x
  2. Step 2: Convert to fraction form
    391,113.52/586,838.84 = 211,163.20/x
  3. Step 3: Cross multiply
    391,113.52x = 586,838.84 × 211,163.20
  4. Step 4: Simplify right side
    391,113.52x = 123,918,767,338.69
  5. Step 5: Solve for x
    x = 123,918,767,338.69/391,113.52
  6. Step 6: Final answer
    x = 316,835.81

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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.