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Finding the Fourth Proportional to 563,338, 777,406.44 and 324,874

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Solution

The fourth proportional to 563,338, 777,406.44 and 324,874 is: 448,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,338 : 777,406.44 = 324,874 : x
  2. Step 2: Convert to fraction form
    563,338/777,406.44 = 324,874/x
  3. Step 3: Cross multiply
    563,338x = 777,406.44 × 324,874
  4. Step 4: Simplify right side
    563,338x = 252,559,139,788.56
  5. Step 5: Solve for x
    x = 252,559,139,788.56/563,338
  6. Step 6: Final answer
    x = 448,326.12

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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.