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Finding the Fourth Proportional to 326,617.92, 489,512.16 and 178,977.60

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Solution

The fourth proportional to 326,617.92, 489,512.16 and 178,977.60 is: 268,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,617.92 : 489,512.16 = 178,977.60 : x
  2. Step 2: Convert to fraction form
    326,617.92/489,512.16 = 178,977.60/x
  3. Step 3: Cross multiply
    326,617.92x = 489,512.16 × 178,977.60
  4. Step 4: Simplify right side
    326,617.92x = 87,611,711,567.62
  5. Step 5: Solve for x
    x = 87,611,711,567.62/326,617.92
  6. Step 6: Final answer
    x = 268,239.14

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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.