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Finding the Fourth Proportional to 402,809, 604,084.51 and 132,876.73

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Solution

The fourth proportional to 402,809, 604,084.51 and 132,876.73 is: 199,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,809 : 604,084.51 = 132,876.73 : x
  2. Step 2: Convert to fraction form
    402,809/604,084.51 = 132,876.73/x
  3. Step 3: Cross multiply
    402,809x = 604,084.51 × 132,876.73
  4. Step 4: Simplify right side
    402,809x = 80,268,770,647.65
  5. Step 5: Solve for x
    x = 80,268,770,647.65/402,809
  6. Step 6: Final answer
    x = 199,272.54

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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.