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Finding the Fourth Proportional to 408,743.12, 612,228.54 and 197,939

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Solution

The fourth proportional to 408,743.12, 612,228.54 and 197,939 is: 296,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,743.12 : 612,228.54 = 197,939 : x
  2. Step 2: Convert to fraction form
    408,743.12/612,228.54 = 197,939/x
  3. Step 3: Cross multiply
    408,743.12x = 612,228.54 × 197,939
  4. Step 4: Simplify right side
    408,743.12x = 121,183,904,979.06
  5. Step 5: Solve for x
    x = 121,183,904,979.06/408,743.12
  6. Step 6: Final answer
    x = 296,479.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.