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Finding the Fourth Proportional to 392,397.75, 588,602.30 and 111,915

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Solution

The fourth proportional to 392,397.75, 588,602.30 and 111,915 is: 167,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,397.75 : 588,602.30 = 111,915 : x
  2. Step 2: Convert to fraction form
    392,397.75/588,602.30 = 111,915/x
  3. Step 3: Cross multiply
    392,397.75x = 588,602.30 × 111,915
  4. Step 4: Simplify right side
    392,397.75x = 65,873,425,844.93
  5. Step 5: Solve for x
    x = 65,873,425,844.93/392,397.75
  6. Step 6: Final answer
    x = 167,874.12

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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.