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Finding the Fourth Proportional to 274,772.80, 412,178.40 and 108,539.20

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Solution

The fourth proportional to 274,772.80, 412,178.40 and 108,539.20 is: 162,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,772.80 : 412,178.40 = 108,539.20 : x
  2. Step 2: Convert to fraction form
    274,772.80/412,178.40 = 108,539.20/x
  3. Step 3: Cross multiply
    274,772.80x = 412,178.40 × 108,539.20
  4. Step 4: Simplify right side
    274,772.80x = 44,737,513,793.28
  5. Step 5: Solve for x
    x = 44,737,513,793.28/274,772.80
  6. Step 6: Final answer
    x = 162,816.38

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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.