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Finding the Fourth Proportional to 306,341.31, 422,747.24 and 172,205.31

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Solution

The fourth proportional to 306,341.31, 422,747.24 and 172,205.31 is: 237,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,341.31 : 422,747.24 = 172,205.31 : x
  2. Step 2: Convert to fraction form
    306,341.31/422,747.24 = 172,205.31/x
  3. Step 3: Cross multiply
    306,341.31x = 422,747.24 × 172,205.31
  4. Step 4: Simplify right side
    306,341.31x = 72,799,317,832.62
  5. Step 5: Solve for x
    x = 72,799,317,832.62/306,341.31
  6. Step 6: Final answer
    x = 237,641.21

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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.