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Finding the Fourth Proportional to 299,010.34, 448,515.51 and 205,231.78

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Solution

The fourth proportional to 299,010.34, 448,515.51 and 205,231.78 is: 307,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,010.34 : 448,515.51 = 205,231.78 : x
  2. Step 2: Convert to fraction form
    299,010.34/448,515.51 = 205,231.78/x
  3. Step 3: Cross multiply
    299,010.34x = 448,515.51 × 205,231.78
  4. Step 4: Simplify right side
    299,010.34x = 92,049,636,474.91
  5. Step 5: Solve for x
    x = 92,049,636,474.91/299,010.34
  6. Step 6: Final answer
    x = 307,847.67

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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.