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Finding the Fourth Proportional to 542,578.02, 813,809.22 and 222,763.41

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Solution

The fourth proportional to 542,578.02, 813,809.22 and 222,763.41 is: 334,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,578.02 : 813,809.22 = 222,763.41 : x
  2. Step 2: Convert to fraction form
    542,578.02/813,809.22 = 222,763.41/x
  3. Step 3: Cross multiply
    542,578.02x = 813,809.22 × 222,763.41
  4. Step 4: Simplify right side
    542,578.02x = 181,286,916,936.64
  5. Step 5: Solve for x
    x = 181,286,916,936.64/542,578.02
  6. Step 6: Final answer
    x = 334,121.38

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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.