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Finding the Fourth Proportional to 514,313.52, 709,755.08 and 287,959

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Solution

The fourth proportional to 514,313.52, 709,755.08 and 287,959 is: 397,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,313.52 : 709,755.08 = 287,959 : x
  2. Step 2: Convert to fraction form
    514,313.52/709,755.08 = 287,959/x
  3. Step 3: Cross multiply
    514,313.52x = 709,755.08 × 287,959
  4. Step 4: Simplify right side
    514,313.52x = 204,380,363,081.72
  5. Step 5: Solve for x
    x = 204,380,363,081.72/514,313.52
  6. Step 6: Final answer
    x = 397,384.78

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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.