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Finding the Fourth Proportional to 391,542, 540,282.12 and 230,361.60

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Solution

The fourth proportional to 391,542, 540,282.12 and 230,361.60 is: 317,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,542 : 540,282.12 = 230,361.60 : x
  2. Step 2: Convert to fraction form
    391,542/540,282.12 = 230,361.60/x
  3. Step 3: Cross multiply
    391,542x = 540,282.12 × 230,361.60
  4. Step 4: Simplify right side
    391,542x = 124,460,253,614.59
  5. Step 5: Solve for x
    x = 124,460,253,614.59/391,542
  6. Step 6: Final answer
    x = 317,872.04

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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.