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Finding the Fourth Proportional to 436,209.09, 654,313.73 and 136,689.61

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Solution

The fourth proportional to 436,209.09, 654,313.73 and 136,689.61 is: 205,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,209.09 : 654,313.73 = 136,689.61 : x
  2. Step 2: Convert to fraction form
    436,209.09/654,313.73 = 136,689.61/x
  3. Step 3: Cross multiply
    436,209.09x = 654,313.73 × 136,689.61
  4. Step 4: Simplify right side
    436,209.09x = 89,437,888,571.35
  5. Step 5: Solve for x
    x = 89,437,888,571.35/436,209.09
  6. Step 6: Final answer
    x = 205,034.44

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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.