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Finding the Fourth Proportional to 313,614.48, 469,839.74 and 212,363.67

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Solution

The fourth proportional to 313,614.48, 469,839.74 and 212,363.67 is: 318,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,614.48 : 469,839.74 = 212,363.67 : x
  2. Step 2: Convert to fraction form
    313,614.48/469,839.74 = 212,363.67/x
  3. Step 3: Cross multiply
    313,614.48x = 469,839.74 × 212,363.67
  4. Step 4: Simplify right side
    313,614.48x = 99,776,890,436.43
  5. Step 5: Solve for x
    x = 99,776,890,436.43/313,614.48
  6. Step 6: Final answer
    x = 318,151.41

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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.