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Finding the Fourth Proportional to 392,143, 588,214.56 and 96,655

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Solution

The fourth proportional to 392,143, 588,214.56 and 96,655 is: 144,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,143 : 588,214.56 = 96,655 : x
  2. Step 2: Convert to fraction form
    392,143/588,214.56 = 96,655/x
  3. Step 3: Cross multiply
    392,143x = 588,214.56 × 96,655
  4. Step 4: Simplify right side
    392,143x = 56,853,878,296.80
  5. Step 5: Solve for x
    x = 56,853,878,296.80/392,143
  6. Step 6: Final answer
    x = 144,982.51

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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.