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Finding the Fourth Proportional to 657,113.28, 985,791.42 and 207,947.22

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Solution

The fourth proportional to 657,113.28, 985,791.42 and 207,947.22 is: 311,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,113.28 : 985,791.42 = 207,947.22 : x
  2. Step 2: Convert to fraction form
    657,113.28/985,791.42 = 207,947.22/x
  3. Step 3: Cross multiply
    657,113.28x = 985,791.42 × 207,947.22
  4. Step 4: Simplify right side
    657,113.28x = 204,992,585,288.85
  5. Step 5: Solve for x
    x = 204,992,585,288.85/657,113.28
  6. Step 6: Final answer
    x = 311,959.28

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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.