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Finding the Fourth Proportional to 351,574.32, 485,147.37 and 206,386

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Solution

The fourth proportional to 351,574.32, 485,147.37 and 206,386 is: 284,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,574.32 : 485,147.37 = 206,386 : x
  2. Step 2: Convert to fraction form
    351,574.32/485,147.37 = 206,386/x
  3. Step 3: Cross multiply
    351,574.32x = 485,147.37 × 206,386
  4. Step 4: Simplify right side
    351,574.32x = 100,127,625,104.82
  5. Step 5: Solve for x
    x = 100,127,625,104.82/351,574.32
  6. Step 6: Final answer
    x = 284,797.89

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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.