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Finding the Fourth Proportional to 511,847.30, 768,116.55 and 287,207.30

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Solution

The fourth proportional to 511,847.30, 768,116.55 and 287,207.30 is: 431,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,847.30 : 768,116.55 = 287,207.30 : x
  2. Step 2: Convert to fraction form
    511,847.30/768,116.55 = 287,207.30/x
  3. Step 3: Cross multiply
    511,847.30x = 768,116.55 × 287,207.30
  4. Step 4: Simplify right side
    511,847.30x = 220,608,680,410.82
  5. Step 5: Solve for x
    x = 220,608,680,410.82/511,847.30
  6. Step 6: Final answer
    x = 431,004.87

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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.