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Finding the Fourth Proportional to 326,076.10, 489,114.15 and 287,584.90

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Solution

The fourth proportional to 326,076.10, 489,114.15 and 287,584.90 is: 431,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,076.10 : 489,114.15 = 287,584.90 : x
  2. Step 2: Convert to fraction form
    326,076.10/489,114.15 = 287,584.90/x
  3. Step 3: Cross multiply
    326,076.10x = 489,114.15 × 287,584.90
  4. Step 4: Simplify right side
    326,076.10x = 140,661,843,916.34
  5. Step 5: Solve for x
    x = 140,661,843,916.34/326,076.10
  6. Step 6: Final answer
    x = 431,377.35

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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.