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Finding the Fourth Proportional to 655,857.65, 984,347.24 and 256,778.68

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Solution

The fourth proportional to 655,857.65, 984,347.24 and 256,778.68 is: 385,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,857.65 : 984,347.24 = 256,778.68 : x
  2. Step 2: Convert to fraction form
    655,857.65/984,347.24 = 256,778.68/x
  3. Step 3: Cross multiply
    655,857.65x = 984,347.24 × 256,778.68
  4. Step 4: Simplify right side
    655,857.65x = 252,759,383,129.92
  5. Step 5: Solve for x
    x = 252,759,383,129.92/655,857.65
  6. Step 6: Final answer
    x = 385,387.56

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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.