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Finding the Fourth Proportional to 256,731.20, 384,367.80 and 242,766.80

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Solution

The fourth proportional to 256,731.20, 384,367.80 and 242,766.80 is: 363,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,731.20 : 384,367.80 = 242,766.80 : x
  2. Step 2: Convert to fraction form
    256,731.20/384,367.80 = 242,766.80/x
  3. Step 3: Cross multiply
    256,731.20x = 384,367.80 × 242,766.80
  4. Step 4: Simplify right side
    256,731.20x = 93,311,740,829.04
  5. Step 5: Solve for x
    x = 93,311,740,829.04/256,731.20
  6. Step 6: Final answer
    x = 363,460.85

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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.