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Finding the Fourth Proportional to 361,665.80, 541,980.30 and 266,150.60

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Solution

The fourth proportional to 361,665.80, 541,980.30 and 266,150.60 is: 398,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,665.80 : 541,980.30 = 266,150.60 : x
  2. Step 2: Convert to fraction form
    361,665.80/541,980.30 = 266,150.60/x
  3. Step 3: Cross multiply
    361,665.80x = 541,980.30 × 266,150.60
  4. Step 4: Simplify right side
    361,665.80x = 144,248,382,033.18
  5. Step 5: Solve for x
    x = 144,248,382,033.18/361,665.80
  6. Step 6: Final answer
    x = 398,844.41

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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.