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Finding the Fourth Proportional to 391,589.14, 540,380.26 and 230,453

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Solution

The fourth proportional to 391,589.14, 540,380.26 and 230,453 is: 318,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,589.14 : 540,380.26 = 230,453 : x
  2. Step 2: Convert to fraction form
    391,589.14/540,380.26 = 230,453/x
  3. Step 3: Cross multiply
    391,589.14x = 540,380.26 × 230,453
  4. Step 4: Simplify right side
    391,589.14x = 124,532,252,057.78
  5. Step 5: Solve for x
    x = 124,532,252,057.78/391,589.14
  6. Step 6: Final answer
    x = 318,017.63

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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.