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Finding the Fourth Proportional to 391,642.90, 587,344.74 and 270,839.96

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Solution

The fourth proportional to 391,642.90, 587,344.74 and 270,839.96 is: 406,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,642.90 : 587,344.74 = 270,839.96 : x
  2. Step 2: Convert to fraction form
    391,642.90/587,344.74 = 270,839.96/x
  3. Step 3: Cross multiply
    391,642.90x = 587,344.74 × 270,839.96
  4. Step 4: Simplify right side
    391,642.90x = 159,076,425,887.81
  5. Step 5: Solve for x
    x = 159,076,425,887.81/391,642.90
  6. Step 6: Final answer
    x = 406,177.22

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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.