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Finding the Fourth Proportional to 516,492.56, 712,759.15 and 287,042.65

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Solution

The fourth proportional to 516,492.56, 712,759.15 and 287,042.65 is: 396,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,492.56 : 712,759.15 = 287,042.65 : x
  2. Step 2: Convert to fraction form
    516,492.56/712,759.15 = 287,042.65/x
  3. Step 3: Cross multiply
    516,492.56x = 712,759.15 × 287,042.65
  4. Step 4: Simplify right side
    516,492.56x = 204,592,275,227.75
  5. Step 5: Solve for x
    x = 204,592,275,227.75/516,492.56
  6. Step 6: Final answer
    x = 396,118.53

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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.