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Finding the Fourth Proportional to 512,227, 767,942.58 and 331,931.56

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Solution

The fourth proportional to 512,227, 767,942.58 and 331,931.56 is: 497,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,227 : 767,942.58 = 331,931.56 : x
  2. Step 2: Convert to fraction form
    512,227/767,942.58 = 331,931.56/x
  3. Step 3: Cross multiply
    512,227x = 767,942.58 × 331,931.56
  4. Step 4: Simplify right side
    512,227x = 254,904,378,569.83
  5. Step 5: Solve for x
    x = 254,904,378,569.83/512,227
  6. Step 6: Final answer
    x = 497,639.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.