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Finding the Fourth Proportional to 275,287.20, 412,963.20 and 97,756.80

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Solution

The fourth proportional to 275,287.20, 412,963.20 and 97,756.80 is: 146,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,287.20 : 412,963.20 = 97,756.80 : x
  2. Step 2: Convert to fraction form
    275,287.20/412,963.20 = 97,756.80/x
  3. Step 3: Cross multiply
    275,287.20x = 412,963.20 × 97,756.80
  4. Step 4: Simplify right side
    275,287.20x = 40,369,960,949.76
  5. Step 5: Solve for x
    x = 40,369,960,949.76/275,287.20
  6. Step 6: Final answer
    x = 146,646.71

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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.