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Finding the Fourth Proportional to 659,491.63, 989,206.78 and 275,081.83

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Solution

The fourth proportional to 659,491.63, 989,206.78 and 275,081.83 is: 412,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,491.63 : 989,206.78 = 275,081.83 : x
  2. Step 2: Convert to fraction form
    659,491.63/989,206.78 = 275,081.83/x
  3. Step 3: Cross multiply
    659,491.63x = 989,206.78 × 275,081.83
  4. Step 4: Simplify right side
    659,491.63x = 272,112,811,290.81
  5. Step 5: Solve for x
    x = 272,112,811,290.81/659,491.63
  6. Step 6: Final answer
    x = 412,609.95

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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.