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Finding the Fourth Proportional to 275,289.20, 412,966.20 and 97,758.80

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Solution

The fourth proportional to 275,289.20, 412,966.20 and 97,758.80 is: 146,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,289.20 : 412,966.20 = 97,758.80 : x
  2. Step 2: Convert to fraction form
    275,289.20/412,966.20 = 97,758.80/x
  3. Step 3: Cross multiply
    275,289.20x = 412,966.20 × 97,758.80
  4. Step 4: Simplify right side
    275,289.20x = 40,371,080,152.56
  5. Step 5: Solve for x
    x = 40,371,080,152.56/275,289.20
  6. Step 6: Final answer
    x = 146,649.71

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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.