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Finding the Fourth Proportional to 295,769.20, 442,997.70 and 256,403.20

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Solution

The fourth proportional to 295,769.20, 442,997.70 and 256,403.20 is: 384,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,769.20 : 442,997.70 = 256,403.20 : x
  2. Step 2: Convert to fraction form
    295,769.20/442,997.70 = 256,403.20/x
  3. Step 3: Cross multiply
    295,769.20x = 442,997.70 × 256,403.20
  4. Step 4: Simplify right side
    295,769.20x = 113,586,027,872.64
  5. Step 5: Solve for x
    x = 113,586,027,872.64/295,769.20
  6. Step 6: Final answer
    x = 384,036.02

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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.