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Finding the Fourth Proportional to 295,910, 408,355.80 and 161,774

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Solution

The fourth proportional to 295,910, 408,355.80 and 161,774 is: 223,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,910 : 408,355.80 = 161,774 : x
  2. Step 2: Convert to fraction form
    295,910/408,355.80 = 161,774/x
  3. Step 3: Cross multiply
    295,910x = 408,355.80 × 161,774
  4. Step 4: Simplify right side
    295,910x = 66,061,351,189.20
  5. Step 5: Solve for x
    x = 66,061,351,189.20/295,910
  6. Step 6: Final answer
    x = 223,248.12

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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.