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Finding the Fourth Proportional to 382,098, 572,359.25 and 223,846.68

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Solution

The fourth proportional to 382,098, 572,359.25 and 223,846.68 is: 335,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,098 : 572,359.25 = 223,846.68 : x
  2. Step 2: Convert to fraction form
    382,098/572,359.25 = 223,846.68/x
  3. Step 3: Cross multiply
    382,098x = 572,359.25 × 223,846.68
  4. Step 4: Simplify right side
    382,098x = 128,120,717,879.79
  5. Step 5: Solve for x
    x = 128,120,717,879.79/382,098
  6. Step 6: Final answer
    x = 335,308.53

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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.