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Finding the Fourth Proportional to 408,791.76, 613,285.79 and 128,309.01

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Solution

The fourth proportional to 408,791.76, 613,285.79 and 128,309.01 is: 192,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,791.76 : 613,285.79 = 128,309.01 : x
  2. Step 2: Convert to fraction form
    408,791.76/613,285.79 = 128,309.01/x
  3. Step 3: Cross multiply
    408,791.76x = 613,285.79 × 128,309.01
  4. Step 4: Simplify right side
    408,791.76x = 78,690,091,920.42
  5. Step 5: Solve for x
    x = 78,690,091,920.42/408,791.76
  6. Step 6: Final answer
    x = 192,494.32

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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.