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Finding the Fourth Proportional to 419,344.22, 578,701.92 and 238,061.50

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Solution

The fourth proportional to 419,344.22, 578,701.92 and 238,061.50 is: 328,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,344.22 : 578,701.92 = 238,061.50 : x
  2. Step 2: Convert to fraction form
    419,344.22/578,701.92 = 238,061.50/x
  3. Step 3: Cross multiply
    419,344.22x = 578,701.92 × 238,061.50
  4. Step 4: Simplify right side
    419,344.22x = 137,766,647,128.08
  5. Step 5: Solve for x
    x = 137,766,647,128.08/419,344.22
  6. Step 6: Final answer
    x = 328,528.79

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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.