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Finding the Fourth Proportional to 522,934.87, 784,299.03 and 143,757.78

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Solution

The fourth proportional to 522,934.87, 784,299.03 and 143,757.78 is: 215,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,934.87 : 784,299.03 = 143,757.78 : x
  2. Step 2: Convert to fraction form
    522,934.87/784,299.03 = 143,757.78/x
  3. Step 3: Cross multiply
    522,934.87x = 784,299.03 × 143,757.78
  4. Step 4: Simplify right side
    522,934.87x = 112,749,087,408.95
  5. Step 5: Solve for x
    x = 112,749,087,408.95/522,934.87
  6. Step 6: Final answer
    x = 215,608.28

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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.