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Finding the Fourth Proportional to 391,428.80, 587,239.20 and 181,022.40

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Solution

The fourth proportional to 391,428.80, 587,239.20 and 181,022.40 is: 271,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,428.80 : 587,239.20 = 181,022.40 : x
  2. Step 2: Convert to fraction form
    391,428.80/587,239.20 = 181,022.40/x
  3. Step 3: Cross multiply
    391,428.80x = 587,239.20 × 181,022.40
  4. Step 4: Simplify right side
    391,428.80x = 106,303,449,358.08
  5. Step 5: Solve for x
    x = 106,303,449,358.08/391,428.80
  6. Step 6: Final answer
    x = 271,578.00

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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.