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Finding the Fourth Proportional to 667,443.50, 921,138.12 and 381,006.68

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Solution

The fourth proportional to 667,443.50, 921,138.12 and 381,006.68 is: 525,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,443.50 : 921,138.12 = 381,006.68 : x
  2. Step 2: Convert to fraction form
    667,443.50/921,138.12 = 381,006.68/x
  3. Step 3: Cross multiply
    667,443.50x = 921,138.12 × 381,006.68
  4. Step 4: Simplify right side
    667,443.50x = 350,959,776,922.64
  5. Step 5: Solve for x
    x = 350,959,776,922.64/667,443.50
  6. Step 6: Final answer
    x = 525,826.95

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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.