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Finding the Fourth Proportional to 361,707.80, 542,043.30 and 266,192.60

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Solution

The fourth proportional to 361,707.80, 542,043.30 and 266,192.60 is: 398,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,707.80 : 542,043.30 = 266,192.60 : x
  2. Step 2: Convert to fraction form
    361,707.80/542,043.30 = 266,192.60/x
  3. Step 3: Cross multiply
    361,707.80x = 542,043.30 × 266,192.60
  4. Step 4: Simplify right side
    361,707.80x = 144,287,915,339.58
  5. Step 5: Solve for x
    x = 144,287,915,339.58/361,707.80
  6. Step 6: Final answer
    x = 398,907.39

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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.