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Finding the Fourth Proportional to 391,213.80, 587,015.10 and 154,564.20

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Solution

The fourth proportional to 391,213.80, 587,015.10 and 154,564.20 is: 231,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,213.80 : 587,015.10 = 154,564.20 : x
  2. Step 2: Convert to fraction form
    391,213.80/587,015.10 = 154,564.20/x
  3. Step 3: Cross multiply
    391,213.80x = 587,015.10 × 154,564.20
  4. Step 4: Simplify right side
    391,213.80x = 90,731,519,319.42
  5. Step 5: Solve for x
    x = 90,731,519,319.42/391,213.80
  6. Step 6: Final answer
    x = 231,923.11

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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.