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Finding the Fourth Proportional to 391,588.14, 540,378.89 and 230,452

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Solution

The fourth proportional to 391,588.14, 540,378.89 and 230,452 is: 318,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,588.14 : 540,378.89 = 230,452 : x
  2. Step 2: Convert to fraction form
    391,588.14/540,378.89 = 230,452/x
  3. Step 3: Cross multiply
    391,588.14x = 540,378.89 × 230,452
  4. Step 4: Simplify right side
    391,588.14x = 124,531,394,806.02
  5. Step 5: Solve for x
    x = 124,531,394,806.02/391,588.14
  6. Step 6: Final answer
    x = 318,016.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.