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Finding the Fourth Proportional to 361,664.80, 541,978.80 and 266,149.60

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Solution

The fourth proportional to 361,664.80, 541,978.80 and 266,149.60 is: 398,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,664.80 : 541,978.80 = 266,149.60 : x
  2. Step 2: Convert to fraction form
    361,664.80/541,978.80 = 266,149.60/x
  3. Step 3: Cross multiply
    361,664.80x = 541,978.80 × 266,149.60
  4. Step 4: Simplify right side
    361,664.80x = 144,247,440,828.48
  5. Step 5: Solve for x
    x = 144,247,440,828.48/361,664.80
  6. Step 6: Final answer
    x = 398,842.91

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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.