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Finding the Fourth Proportional to 407,491.27, 611,098.49 and 141,189.69

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Solution

The fourth proportional to 407,491.27, 611,098.49 and 141,189.69 is: 211,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,491.27 : 611,098.49 = 141,189.69 : x
  2. Step 2: Convert to fraction form
    407,491.27/611,098.49 = 141,189.69/x
  3. Step 3: Cross multiply
    407,491.27x = 611,098.49 × 141,189.69
  4. Step 4: Simplify right side
    407,491.27x = 86,280,809,007.16
  5. Step 5: Solve for x
    x = 86,280,809,007.16/407,491.27
  6. Step 6: Final answer
    x = 211,736.58

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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.