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Finding the Fourth Proportional to 392,638.47, 588,969.86 and 108,333.95

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Solution

The fourth proportional to 392,638.47, 588,969.86 and 108,333.95 is: 162,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,638.47 : 588,969.86 = 108,333.95 : x
  2. Step 2: Convert to fraction form
    392,638.47/588,969.86 = 108,333.95/x
  3. Step 3: Cross multiply
    392,638.47x = 588,969.86 × 108,333.95
  4. Step 4: Simplify right side
    392,638.47x = 63,805,427,878.23
  5. Step 5: Solve for x
    x = 63,805,427,878.23/392,638.47
  6. Step 6: Final answer
    x = 162,504.27

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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.