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Finding the Fourth Proportional to 392,124.30, 588,186.28 and 111,641.55

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Solution

The fourth proportional to 392,124.30, 588,186.28 and 111,641.55 is: 167,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,124.30 : 588,186.28 = 111,641.55 : x
  2. Step 2: Convert to fraction form
    392,124.30/588,186.28 = 111,641.55/x
  3. Step 3: Cross multiply
    392,124.30x = 588,186.28 × 111,641.55
  4. Step 4: Simplify right side
    392,124.30x = 65,666,027,987.93
  5. Step 5: Solve for x
    x = 65,666,027,987.93/392,124.30
  6. Step 6: Final answer
    x = 167,462.28

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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.