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Finding the Fourth Proportional to 489,380.39, 733,833.26 and 287,042.62

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Solution

The fourth proportional to 489,380.39, 733,833.26 and 287,042.62 is: 430,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,380.39 : 733,833.26 = 287,042.62 : x
  2. Step 2: Convert to fraction form
    489,380.39/733,833.26 = 287,042.62/x
  3. Step 3: Cross multiply
    489,380.39x = 733,833.26 × 287,042.62
  4. Step 4: Simplify right side
    489,380.39x = 210,641,420,476.57
  5. Step 5: Solve for x
    x = 210,641,420,476.57/489,380.39
  6. Step 6: Final answer
    x = 430,424.72

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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.