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Finding the Fourth Proportional to 265,909.80, 399,082.30 and 263,836.20

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Solution

The fourth proportional to 265,909.80, 399,082.30 and 263,836.20 is: 395,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,909.80 : 399,082.30 = 263,836.20 : x
  2. Step 2: Convert to fraction form
    265,909.80/399,082.30 = 263,836.20/x
  3. Step 3: Cross multiply
    265,909.80x = 399,082.30 × 263,836.20
  4. Step 4: Simplify right side
    265,909.80x = 105,292,357,519.26
  5. Step 5: Solve for x
    x = 105,292,357,519.26/265,909.80
  6. Step 6: Final answer
    x = 395,970.20

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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.