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Finding the Fourth Proportional to 263,248.80, 394,786.80 and 97,015.20

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Solution

The fourth proportional to 263,248.80, 394,786.80 and 97,015.20 is: 145,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,248.80 : 394,786.80 = 97,015.20 : x
  2. Step 2: Convert to fraction form
    263,248.80/394,786.80 = 97,015.20/x
  3. Step 3: Cross multiply
    263,248.80x = 394,786.80 × 97,015.20
  4. Step 4: Simplify right side
    263,248.80x = 38,300,320,359.36
  5. Step 5: Solve for x
    x = 38,300,320,359.36/263,248.80
  6. Step 6: Final answer
    x = 145,490.96

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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.