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Finding the Fourth Proportional to 391,255.41, 586,119.05 and 269,654.20

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Solution

The fourth proportional to 391,255.41, 586,119.05 and 269,654.20 is: 403,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,255.41 : 586,119.05 = 269,654.20 : x
  2. Step 2: Convert to fraction form
    391,255.41/586,119.05 = 269,654.20/x
  3. Step 3: Cross multiply
    391,255.41x = 586,119.05 × 269,654.20
  4. Step 4: Simplify right side
    391,255.41x = 158,049,463,246.95
  5. Step 5: Solve for x
    x = 158,049,463,246.95/391,255.41
  6. Step 6: Final answer
    x = 403,954.70

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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.