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Finding the Fourth Proportional to 683,937.24, 943,882.24 and 378,007.05

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Solution

The fourth proportional to 683,937.24, 943,882.24 and 378,007.05 is: 521,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,937.24 : 943,882.24 = 378,007.05 : x
  2. Step 2: Convert to fraction form
    683,937.24/943,882.24 = 378,007.05/x
  3. Step 3: Cross multiply
    683,937.24x = 943,882.24 × 378,007.05
  4. Step 4: Simplify right side
    683,937.24x = 356,794,140,144.77
  5. Step 5: Solve for x
    x = 356,794,140,144.77/683,937.24
  6. Step 6: Final answer
    x = 521,676.73

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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.