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Finding the Fourth Proportional to 313,711.90, 470,497.17 and 89,067.71

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Solution

The fourth proportional to 313,711.90, 470,497.17 and 89,067.71 is: 133,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,711.90 : 470,497.17 = 89,067.71 : x
  2. Step 2: Convert to fraction form
    313,711.90/470,497.17 = 89,067.71/x
  3. Step 3: Cross multiply
    313,711.90x = 470,497.17 × 89,067.71
  4. Step 4: Simplify right side
    313,711.90x = 41,906,105,493.38
  5. Step 5: Solve for x
    x = 41,906,105,493.38/313,711.90
  6. Step 6: Final answer
    x = 133,581.50

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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.