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Finding the Fourth Proportional to 422,838.87, 633,014.10 and 282,248.79

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Solution

The fourth proportional to 422,838.87, 633,014.10 and 282,248.79 is: 422,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,838.87 : 633,014.10 = 282,248.79 : x
  2. Step 2: Convert to fraction form
    422,838.87/633,014.10 = 282,248.79/x
  3. Step 3: Cross multiply
    422,838.87x = 633,014.10 × 282,248.79
  4. Step 4: Simplify right side
    422,838.87x = 178,667,463,777.94
  5. Step 5: Solve for x
    x = 178,667,463,777.94/422,838.87
  6. Step 6: Final answer
    x = 422,542.67

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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.