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Finding the Fourth Proportional to 295,821.78, 408,234.03 and 161,685.78

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Solution

The fourth proportional to 295,821.78, 408,234.03 and 161,685.78 is: 223,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,821.78 : 408,234.03 = 161,685.78 : x
  2. Step 2: Convert to fraction form
    295,821.78/408,234.03 = 161,685.78/x
  3. Step 3: Cross multiply
    295,821.78x = 408,234.03 × 161,685.78
  4. Step 4: Simplify right side
    295,821.78x = 66,005,637,563.09
  5. Step 5: Solve for x
    x = 66,005,637,563.09/295,821.78
  6. Step 6: Final answer
    x = 223,126.36

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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.