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Finding the Fourth Proportional to 371,099.31, 512,119.26 and 209,988.03

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Solution

The fourth proportional to 371,099.31, 512,119.26 and 209,988.03 is: 289,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,099.31 : 512,119.26 = 209,988.03 : x
  2. Step 2: Convert to fraction form
    371,099.31/512,119.26 = 209,988.03/x
  3. Step 3: Cross multiply
    371,099.31x = 512,119.26 × 209,988.03
  4. Step 4: Simplify right side
    371,099.31x = 107,538,914,532.46
  5. Step 5: Solve for x
    x = 107,538,914,532.46/371,099.31
  6. Step 6: Final answer
    x = 289,784.73

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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.