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Finding the Fourth Proportional to 274,798.80, 412,217.40 and 108,565.20

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Solution

The fourth proportional to 274,798.80, 412,217.40 and 108,565.20 is: 162,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,798.80 : 412,217.40 = 108,565.20 : x
  2. Step 2: Convert to fraction form
    274,798.80/412,217.40 = 108,565.20/x
  3. Step 3: Cross multiply
    274,798.80x = 412,217.40 × 108,565.20
  4. Step 4: Simplify right side
    274,798.80x = 44,752,464,474.48
  5. Step 5: Solve for x
    x = 44,752,464,474.48/274,798.80
  6. Step 6: Final answer
    x = 162,855.39

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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.