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Finding the Fourth Proportional to 408,754, 612,865.32 and 195,406.48

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Solution

The fourth proportional to 408,754, 612,865.32 and 195,406.48 is: 292,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,754 : 612,865.32 = 195,406.48 : x
  2. Step 2: Convert to fraction form
    408,754/612,865.32 = 195,406.48/x
  3. Step 3: Cross multiply
    408,754x = 612,865.32 × 195,406.48
  4. Step 4: Simplify right side
    408,754x = 119,757,854,895.27
  5. Step 5: Solve for x
    x = 119,757,854,895.27/408,754
  6. Step 6: Final answer
    x = 292,982.71

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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.