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Finding the Fourth Proportional to 371,695.88, 512,899.14 and 206,119.72

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Solution

The fourth proportional to 371,695.88, 512,899.14 and 206,119.72 is: 284,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,695.88 : 512,899.14 = 206,119.72 : x
  2. Step 2: Convert to fraction form
    371,695.88/512,899.14 = 206,119.72/x
  3. Step 3: Cross multiply
    371,695.88x = 512,899.14 × 206,119.72
  4. Step 4: Simplify right side
    371,695.88x = 105,718,627,125.04
  5. Step 5: Solve for x
    x = 105,718,627,125.04/371,695.88
  6. Step 6: Final answer
    x = 284,422.38

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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.