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Finding the Fourth Proportional to 495,840.96, 743,769.72 and 259,644.96

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Solution

The fourth proportional to 495,840.96, 743,769.72 and 259,644.96 is: 389,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,840.96 : 743,769.72 = 259,644.96 : x
  2. Step 2: Convert to fraction form
    495,840.96/743,769.72 = 259,644.96/x
  3. Step 3: Cross multiply
    495,840.96x = 743,769.72 × 259,644.96
  4. Step 4: Simplify right side
    495,840.96x = 193,116,059,198.61
  5. Step 5: Solve for x
    x = 193,116,059,198.61/495,840.96
  6. Step 6: Final answer
    x = 389,471.78

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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.