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Finding the Fourth Proportional to 391,423.24, 587,185.88 and 110,947.76

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Solution

The fourth proportional to 391,423.24, 587,185.88 and 110,947.76 is: 166,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,423.24 : 587,185.88 = 110,947.76 : x
  2. Step 2: Convert to fraction form
    391,423.24/587,185.88 = 110,947.76/x
  3. Step 3: Cross multiply
    391,423.24x = 587,185.88 × 110,947.76
  4. Step 4: Simplify right side
    391,423.24x = 65,146,958,089.63
  5. Step 5: Solve for x
    x = 65,146,958,089.63/391,423.24
  6. Step 6: Final answer
    x = 166,436.10

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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.