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Finding the Fourth Proportional to 422,278.24, 633,566.32 and 280,685.92

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Solution

The fourth proportional to 422,278.24, 633,566.32 and 280,685.92 is: 421,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,278.24 : 633,566.32 = 280,685.92 : x
  2. Step 2: Convert to fraction form
    422,278.24/633,566.32 = 280,685.92/x
  3. Step 3: Cross multiply
    422,278.24x = 633,566.32 × 280,685.92
  4. Step 4: Simplify right side
    422,278.24x = 177,833,145,410.21
  5. Step 5: Solve for x
    x = 177,833,145,410.21/422,278.24
  6. Step 6: Final answer
    x = 421,127.89

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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.