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Finding the Fourth Proportional to 392,470.57, 541,564.68 and 220,365.51

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Solution

The fourth proportional to 392,470.57, 541,564.68 and 220,365.51 is: 304,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,470.57 : 541,564.68 = 220,365.51 : x
  2. Step 2: Convert to fraction form
    392,470.57/541,564.68 = 220,365.51/x
  3. Step 3: Cross multiply
    392,470.57x = 541,564.68 × 220,365.51
  4. Step 4: Simplify right side
    392,470.57x = 119,342,176,906.19
  5. Step 5: Solve for x
    x = 119,342,176,906.19/392,470.57
  6. Step 6: Final answer
    x = 304,079.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.