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Finding the Fourth Proportional to 408,708.09, 613,062.47 and 195,425.82

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Solution

The fourth proportional to 408,708.09, 613,062.47 and 195,425.82 is: 293,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,708.09 : 613,062.47 = 195,425.82 : x
  2. Step 2: Convert to fraction form
    408,708.09/613,062.47 = 195,425.82/x
  3. Step 3: Cross multiply
    408,708.09x = 613,062.47 × 195,425.82
  4. Step 4: Simplify right side
    408,708.09x = 119,808,236,399.54
  5. Step 5: Solve for x
    x = 119,808,236,399.54/408,708.09
  6. Step 6: Final answer
    x = 293,138.89

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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.