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Finding the Fourth Proportional to 640,024.46, 959,715.26 and 213,409.26

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Solution

The fourth proportional to 640,024.46, 959,715.26 and 213,409.26 is: 320,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,024.46 : 959,715.26 = 213,409.26 : x
  2. Step 2: Convert to fraction form
    640,024.46/959,715.26 = 213,409.26/x
  3. Step 3: Cross multiply
    640,024.46x = 959,715.26 × 213,409.26
  4. Step 4: Simplify right side
    640,024.46x = 204,812,123,980.83
  5. Step 5: Solve for x
    x = 204,812,123,980.83/640,024.46
  6. Step 6: Final answer
    x = 320,006.71

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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.