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Finding the Fourth Proportional to 391,251.87, 586,858.41 and 229,237.70

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Solution

The fourth proportional to 391,251.87, 586,858.41 and 229,237.70 is: 343,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,251.87 : 586,858.41 = 229,237.70 : x
  2. Step 2: Convert to fraction form
    391,251.87/586,858.41 = 229,237.70/x
  3. Step 3: Cross multiply
    391,251.87x = 586,858.41 × 229,237.70
  4. Step 4: Simplify right side
    391,251.87x = 134,530,069,199.77
  5. Step 5: Solve for x
    x = 134,530,069,199.77/391,251.87
  6. Step 6: Final answer
    x = 343,845.18

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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.