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Finding the Fourth Proportional to 392,509.60, 541,665.84 and 222,746.56

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Solution

The fourth proportional to 392,509.60, 541,665.84 and 222,746.56 is: 307,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,509.60 : 541,665.84 = 222,746.56 : x
  2. Step 2: Convert to fraction form
    392,509.60/541,665.84 = 222,746.56/x
  3. Step 3: Cross multiply
    392,509.60x = 541,665.84 × 222,746.56
  4. Step 4: Simplify right side
    392,509.60x = 120,654,202,529.51
  5. Step 5: Solve for x
    x = 120,654,202,529.51/392,509.60
  6. Step 6: Final answer
    x = 307,391.72

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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.