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Finding the Fourth Proportional to 512,930.88, 707,196.96 and 331,335.36

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Solution

The fourth proportional to 512,930.88, 707,196.96 and 331,335.36 is: 456,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,930.88 : 707,196.96 = 331,335.36 : x
  2. Step 2: Convert to fraction form
    512,930.88/707,196.96 = 331,335.36/x
  3. Step 3: Cross multiply
    512,930.88x = 707,196.96 × 331,335.36
  4. Step 4: Simplify right side
    512,930.88x = 234,319,359,332.51
  5. Step 5: Solve for x
    x = 234,319,359,332.51/512,930.88
  6. Step 6: Final answer
    x = 456,824.43

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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.