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Finding the Fourth Proportional to 640,107.86, 959,950.71 and 213,526.13

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Solution

The fourth proportional to 640,107.86, 959,950.71 and 213,526.13 is: 320,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,107.86 : 959,950.71 = 213,526.13 : x
  2. Step 2: Convert to fraction form
    640,107.86/959,950.71 = 213,526.13/x
  3. Step 3: Cross multiply
    640,107.86x = 959,950.71 × 213,526.13
  4. Step 4: Simplify right side
    640,107.86x = 204,974,555,297.30
  5. Step 5: Solve for x
    x = 204,974,555,297.30/640,107.86
  6. Step 6: Final answer
    x = 320,218.78

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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.