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Finding the Fourth Proportional to 391,896.42, 588,106.80 and 142,578.42

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Solution

The fourth proportional to 391,896.42, 588,106.80 and 142,578.42 is: 213,963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,896.42 : 588,106.80 = 142,578.42 : x
  2. Step 2: Convert to fraction form
    391,896.42/588,106.80 = 142,578.42/x
  3. Step 3: Cross multiply
    391,896.42x = 588,106.80 × 142,578.42
  4. Step 4: Simplify right side
    391,896.42x = 83,851,338,335.26
  5. Step 5: Solve for x
    x = 83,851,338,335.26/391,896.42
  6. Step 6: Final answer
    x = 213,963.01

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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.