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Finding the Fourth Proportional to 589,578.90, 813,647.72 and 331,537.09

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Solution

The fourth proportional to 589,578.90, 813,647.72 and 331,537.09 is: 457,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,578.90 : 813,647.72 = 331,537.09 : x
  2. Step 2: Convert to fraction form
    589,578.90/813,647.72 = 331,537.09/x
  3. Step 3: Cross multiply
    589,578.90x = 813,647.72 × 331,537.09
  4. Step 4: Simplify right side
    589,578.90x = 269,754,396,083.83
  5. Step 5: Solve for x
    x = 269,754,396,083.83/589,578.90
  6. Step 6: Final answer
    x = 457,537.40

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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.