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Finding the Fourth Proportional to 323,760.80, 485,641.20 and 256,838.60

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Solution

The fourth proportional to 323,760.80, 485,641.20 and 256,838.60 is: 385,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,760.80 : 485,641.20 = 256,838.60 : x
  2. Step 2: Convert to fraction form
    323,760.80/485,641.20 = 256,838.60/x
  3. Step 3: Cross multiply
    323,760.80x = 485,641.20 × 256,838.60
  4. Step 4: Simplify right side
    323,760.80x = 124,731,405,910.32
  5. Step 5: Solve for x
    x = 124,731,405,910.32/323,760.80
  6. Step 6: Final answer
    x = 385,257.90

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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.