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Finding the Fourth Proportional to 392,400, 588,605.54 and 111,917.25

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Solution

The fourth proportional to 392,400, 588,605.54 and 111,917.25 is: 167,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,400 : 588,605.54 = 111,917.25 : x
  2. Step 2: Convert to fraction form
    392,400/588,605.54 = 111,917.25/x
  3. Step 3: Cross multiply
    392,400x = 588,605.54 × 111,917.25
  4. Step 4: Simplify right side
    392,400x = 65,875,112,811.98
  5. Step 5: Solve for x
    x = 65,875,112,811.98/392,400
  6. Step 6: Final answer
    x = 167,877.45

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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.