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Finding the Fourth Proportional to 610,864.73, 843,488.61 and 381,689

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Solution

The fourth proportional to 610,864.73, 843,488.61 and 381,689 is: 527,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,864.73 : 843,488.61 = 381,689 : x
  2. Step 2: Convert to fraction form
    610,864.73/843,488.61 = 381,689/x
  3. Step 3: Cross multiply
    610,864.73x = 843,488.61 × 381,689
  4. Step 4: Simplify right side
    610,864.73x = 321,950,324,062.29
  5. Step 5: Solve for x
    x = 321,950,324,062.29/610,864.73
  6. Step 6: Final answer
    x = 527,040.29

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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.