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Finding the Fourth Proportional to 512,332.78, 707,367.99 and 331,482.46

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Solution

The fourth proportional to 512,332.78, 707,367.99 and 331,482.46 is: 457,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,332.78 : 707,367.99 = 331,482.46 : x
  2. Step 2: Convert to fraction form
    512,332.78/707,367.99 = 331,482.46/x
  3. Step 3: Cross multiply
    512,332.78x = 707,367.99 × 331,482.46
  4. Step 4: Simplify right side
    512,332.78x = 234,480,081,450.46
  5. Step 5: Solve for x
    x = 234,480,081,450.46/512,332.78
  6. Step 6: Final answer
    x = 457,671.44

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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.