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Finding the Fourth Proportional to 391,309.80, 540,135.78 and 230,156.52

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Solution

The fourth proportional to 391,309.80, 540,135.78 and 230,156.52 is: 317,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,309.80 : 540,135.78 = 230,156.52 : x
  2. Step 2: Convert to fraction form
    391,309.80/540,135.78 = 230,156.52/x
  3. Step 3: Cross multiply
    391,309.80x = 540,135.78 × 230,156.52
  4. Step 4: Simplify right side
    391,309.80x = 124,315,771,452.29
  5. Step 5: Solve for x
    x = 124,315,771,452.29/391,309.80
  6. Step 6: Final answer
    x = 317,691.43

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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.