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Finding the Fourth Proportional to 295,940, 408,397.20 and 161,804

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Solution

The fourth proportional to 295,940, 408,397.20 and 161,804 is: 223,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,940 : 408,397.20 = 161,804 : x
  2. Step 2: Convert to fraction form
    295,940/408,397.20 = 161,804/x
  3. Step 3: Cross multiply
    295,940x = 408,397.20 × 161,804
  4. Step 4: Simplify right side
    295,940x = 66,080,300,548.80
  5. Step 5: Solve for x
    x = 66,080,300,548.80/295,940
  6. Step 6: Final answer
    x = 223,289.52

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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.