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Finding the Fourth Proportional to 383,711.78, 575,321.67 and 159,227.17

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Solution

The fourth proportional to 383,711.78, 575,321.67 and 159,227.17 is: 238,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,711.78 : 575,321.67 = 159,227.17 : x
  2. Step 2: Convert to fraction form
    383,711.78/575,321.67 = 159,227.17/x
  3. Step 3: Cross multiply
    383,711.78x = 575,321.67 × 159,227.17
  4. Step 4: Simplify right side
    383,711.78x = 91,606,839,915.47
  5. Step 5: Solve for x
    x = 91,606,839,915.47/383,711.78
  6. Step 6: Final answer
    x = 238,738.67

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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.