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Finding the Fourth Proportional to 392,370, 588,560.46 and 111,887.25

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Solution

The fourth proportional to 392,370, 588,560.46 and 111,887.25 is: 167,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,370 : 588,560.46 = 111,887.25 : x
  2. Step 2: Convert to fraction form
    392,370/588,560.46 = 111,887.25/x
  3. Step 3: Cross multiply
    392,370x = 588,560.46 × 111,887.25
  4. Step 4: Simplify right side
    392,370x = 65,852,411,328.14
  5. Step 5: Solve for x
    x = 65,852,411,328.14/392,370
  6. Step 6: Final answer
    x = 167,832.43

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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.