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Finding the Fourth Proportional to 512,995.97, 708,388.38 and 319,733.53

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Solution

The fourth proportional to 512,995.97, 708,388.38 and 319,733.53 is: 441,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,995.97 : 708,388.38 = 319,733.53 : x
  2. Step 2: Convert to fraction form
    512,995.97/708,388.38 = 319,733.53/x
  3. Step 3: Cross multiply
    512,995.97x = 708,388.38 × 319,733.53
  4. Step 4: Simplify right side
    512,995.97x = 226,495,517,348.38
  5. Step 5: Solve for x
    x = 226,495,517,348.38/512,995.97
  6. Step 6: Final answer
    x = 441,515.20

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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.