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Finding the Fourth Proportional to 275,410.13, 412,727.54 and 218,999.90

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Solution

The fourth proportional to 275,410.13, 412,727.54 and 218,999.90 is: 328,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,410.13 : 412,727.54 = 218,999.90 : x
  2. Step 2: Convert to fraction form
    275,410.13/412,727.54 = 218,999.90/x
  3. Step 3: Cross multiply
    275,410.13x = 412,727.54 × 218,999.90
  4. Step 4: Simplify right side
    275,410.13x = 90,387,289,924.07
  5. Step 5: Solve for x
    x = 90,387,289,924.07/275,410.13
  6. Step 6: Final answer
    x = 328,191.60

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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.