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Finding the Fourth Proportional to 812,463.96, 1,121,169.42 and 449,859

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Solution

The fourth proportional to 812,463.96, 1,121,169.42 and 449,859 is: 620,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,463.96 : 1,121,169.42 = 449,859 : x
  2. Step 2: Convert to fraction form
    812,463.96/1,121,169.42 = 449,859/x
  3. Step 3: Cross multiply
    812,463.96x = 1,121,169.42 × 449,859
  4. Step 4: Simplify right side
    812,463.96x = 504,368,154,111.78
  5. Step 5: Solve for x
    x = 504,368,154,111.78/812,463.96
  6. Step 6: Final answer
    x = 620,788.34

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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.