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Finding the Fourth Proportional to 384,098.34, 576,221.67 and 147,422.57

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Solution

The fourth proportional to 384,098.34, 576,221.67 and 147,422.57 is: 221,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,098.34 : 576,221.67 = 147,422.57 : x
  2. Step 2: Convert to fraction form
    384,098.34/576,221.67 = 147,422.57/x
  3. Step 3: Cross multiply
    384,098.34x = 576,221.67 × 147,422.57
  4. Step 4: Simplify right side
    384,098.34x = 84,948,079,481.09
  5. Step 5: Solve for x
    x = 84,948,079,481.09/384,098.34
  6. Step 6: Final answer
    x = 221,162.32

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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.