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Finding the Fourth Proportional to 465,016.84, 641,678.91 and 261,021

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Solution

The fourth proportional to 465,016.84, 641,678.91 and 261,021 is: 360,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,016.84 : 641,678.91 = 261,021 : x
  2. Step 2: Convert to fraction form
    465,016.84/641,678.91 = 261,021/x
  3. Step 3: Cross multiply
    465,016.84x = 641,678.91 × 261,021
  4. Step 4: Simplify right side
    465,016.84x = 167,491,670,767.11
  5. Step 5: Solve for x
    x = 167,491,670,767.11/465,016.84
  6. Step 6: Final answer
    x = 360,184.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.