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Finding the Fourth Proportional to 313,871.70, 470,771.10 and 89,266.80

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Solution

The fourth proportional to 313,871.70, 470,771.10 and 89,266.80 is: 133,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,871.70 : 470,771.10 = 89,266.80 : x
  2. Step 2: Convert to fraction form
    313,871.70/470,771.10 = 89,266.80/x
  3. Step 3: Cross multiply
    313,871.70x = 470,771.10 × 89,266.80
  4. Step 4: Simplify right side
    313,871.70x = 42,024,229,629.48
  5. Step 5: Solve for x
    x = 42,024,229,629.48/313,871.70
  6. Step 6: Final answer
    x = 133,889.83

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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.