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Finding the Fourth Proportional to 512,934.88, 707,202.48 and 331,339.36

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Solution

The fourth proportional to 512,934.88, 707,202.48 and 331,339.36 is: 456,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,934.88 : 707,202.48 = 331,339.36 : x
  2. Step 2: Convert to fraction form
    512,934.88/707,202.48 = 331,339.36/x
  3. Step 3: Cross multiply
    512,934.88x = 707,202.48 × 331,339.36
  4. Step 4: Simplify right side
    512,934.88x = 234,324,017,113.61
  5. Step 5: Solve for x
    x = 234,324,017,113.61/512,934.88
  6. Step 6: Final answer
    x = 456,829.95

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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.