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Finding the Fourth Proportional to 419,515.32, 578,990.38 and 238,272.44

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Solution

The fourth proportional to 419,515.32, 578,990.38 and 238,272.44 is: 328,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,515.32 : 578,990.38 = 238,272.44 : x
  2. Step 2: Convert to fraction form
    419,515.32/578,990.38 = 238,272.44/x
  3. Step 3: Cross multiply
    419,515.32x = 578,990.38 × 238,272.44
  4. Step 4: Simplify right side
    419,515.32x = 137,957,450,579.13
  5. Step 5: Solve for x
    x = 137,957,450,579.13/419,515.32
  6. Step 6: Final answer
    x = 328,849.61

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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.