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Finding the Fourth Proportional to 427,860, 641,824.56 and 132,372

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Solution

The fourth proportional to 427,860, 641,824.56 and 132,372 is: 198,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,860 : 641,824.56 = 132,372 : x
  2. Step 2: Convert to fraction form
    427,860/641,824.56 = 132,372/x
  3. Step 3: Cross multiply
    427,860x = 641,824.56 × 132,372
  4. Step 4: Simplify right side
    427,860x = 84,959,600,656.32
  5. Step 5: Solve for x
    x = 84,959,600,656.32/427,860
  6. Step 6: Final answer
    x = 198,568.69

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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.