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Finding the Fourth Proportional to 504,900.96, 696,760.00 and 287,109.65

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Solution

The fourth proportional to 504,900.96, 696,760.00 and 287,109.65 is: 396,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,900.96 : 696,760.00 = 287,109.65 : x
  2. Step 2: Convert to fraction form
    504,900.96/696,760.00 = 287,109.65/x
  3. Step 3: Cross multiply
    504,900.96x = 696,760.00 × 287,109.65
  4. Step 4: Simplify right side
    504,900.96x = 200,046,517,274.33
  5. Step 5: Solve for x
    x = 200,046,517,274.33/504,900.96
  6. Step 6: Final answer
    x = 396,209.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.