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Finding the Fourth Proportional to 256,744.20, 384,387.30 and 242,779.80

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Solution

The fourth proportional to 256,744.20, 384,387.30 and 242,779.80 is: 363,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,744.20 : 384,387.30 = 242,779.80 : x
  2. Step 2: Convert to fraction form
    256,744.20/384,387.30 = 242,779.80/x
  3. Step 3: Cross multiply
    256,744.20x = 384,387.30 × 242,779.80
  4. Step 4: Simplify right side
    256,744.20x = 93,321,471,816.54
  5. Step 5: Solve for x
    x = 93,321,471,816.54/256,744.20
  6. Step 6: Final answer
    x = 363,480.35

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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.