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Finding the Fourth Proportional to 408,921.28, 613,644.40 and 198,444.40

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Solution

The fourth proportional to 408,921.28, 613,644.40 and 198,444.40 is: 297,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,921.28 : 613,644.40 = 198,444.40 : x
  2. Step 2: Convert to fraction form
    408,921.28/613,644.40 = 198,444.40/x
  3. Step 3: Cross multiply
    408,921.28x = 613,644.40 × 198,444.40
  4. Step 4: Simplify right side
    408,921.28x = 121,774,294,771.36
  5. Step 5: Solve for x
    x = 121,774,294,771.36/408,921.28
  6. Step 6: Final answer
    x = 297,793.98

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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.