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Finding the Fourth Proportional to 313,891.70, 470,801.10 and 89,286.80

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Solution

The fourth proportional to 313,891.70, 470,801.10 and 89,286.80 is: 133,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,891.70 : 470,801.10 = 89,286.80 : x
  2. Step 2: Convert to fraction form
    313,891.70/470,801.10 = 89,286.80/x
  3. Step 3: Cross multiply
    313,891.70x = 470,801.10 × 89,286.80
  4. Step 4: Simplify right side
    313,891.70x = 42,036,323,655.48
  5. Step 5: Solve for x
    x = 42,036,323,655.48/313,891.70
  6. Step 6: Final answer
    x = 133,919.83

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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.