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Finding the Fourth Proportional to 275,719.80, 413,579.70 and 265,222.20

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Solution

The fourth proportional to 275,719.80, 413,579.70 and 265,222.20 is: 397,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,719.80 : 413,579.70 = 265,222.20 : x
  2. Step 2: Convert to fraction form
    275,719.80/413,579.70 = 265,222.20/x
  3. Step 3: Cross multiply
    275,719.80x = 413,579.70 × 265,222.20
  4. Step 4: Simplify right side
    275,719.80x = 109,690,517,909.34
  5. Step 5: Solve for x
    x = 109,690,517,909.34/275,719.80
  6. Step 6: Final answer
    x = 397,833.30

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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.