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Finding the Fourth Proportional to 485,311.20, 727,966.80 and 275,359.20

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Solution

The fourth proportional to 485,311.20, 727,966.80 and 275,359.20 is: 413,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,311.20 : 727,966.80 = 275,359.20 : x
  2. Step 2: Convert to fraction form
    485,311.20/727,966.80 = 275,359.20/x
  3. Step 3: Cross multiply
    485,311.20x = 727,966.80 × 275,359.20
  4. Step 4: Simplify right side
    485,311.20x = 200,452,355,674.56
  5. Step 5: Solve for x
    x = 200,452,355,674.56/485,311.20
  6. Step 6: Final answer
    x = 413,038.80

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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.