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Finding the Fourth Proportional to 299,630.44, 413,511.78 and 172,345.96

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Solution

The fourth proportional to 299,630.44, 413,511.78 and 172,345.96 is: 237,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,630.44 : 413,511.78 = 172,345.96 : x
  2. Step 2: Convert to fraction form
    299,630.44/413,511.78 = 172,345.96/x
  3. Step 3: Cross multiply
    299,630.44x = 413,511.78 × 172,345.96
  4. Step 4: Simplify right side
    299,630.44x = 71,267,084,695.41
  5. Step 5: Solve for x
    x = 71,267,084,695.41/299,630.44
  6. Step 6: Final answer
    x = 237,849.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.