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Finding the Fourth Proportional to 371,061.14, 512,064.51 and 209,912.78

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Solution

The fourth proportional to 371,061.14, 512,064.51 and 209,912.78 is: 289,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,061.14 : 512,064.51 = 209,912.78 : x
  2. Step 2: Convert to fraction form
    371,061.14/512,064.51 = 209,912.78/x
  3. Step 3: Cross multiply
    371,061.14x = 512,064.51 × 209,912.78
  4. Step 4: Simplify right side
    371,061.14x = 107,488,884,833.44
  5. Step 5: Solve for x
    x = 107,488,884,833.44/371,061.14
  6. Step 6: Final answer
    x = 289,679.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.