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Finding the Fourth Proportional to 641,042.92, 961,301.94 and 285,814

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Solution

The fourth proportional to 641,042.92, 961,301.94 and 285,814 is: 428,603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,042.92 : 961,301.94 = 285,814 : x
  2. Step 2: Convert to fraction form
    641,042.92/961,301.94 = 285,814/x
  3. Step 3: Cross multiply
    641,042.92x = 961,301.94 × 285,814
  4. Step 4: Simplify right side
    641,042.92x = 274,753,552,679.16
  5. Step 5: Solve for x
    x = 274,753,552,679.16/641,042.92
  6. Step 6: Final answer
    x = 428,603.99

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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.