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Finding the Fourth Proportional to 206,417, 309,366.46 and 111,643.40

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Solution

The fourth proportional to 206,417, 309,366.46 and 111,643.40 is: 167,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,417 : 309,366.46 = 111,643.40 : x
  2. Step 2: Convert to fraction form
    206,417/309,366.46 = 111,643.40/x
  3. Step 3: Cross multiply
    206,417x = 309,366.46 × 111,643.40
  4. Step 4: Simplify right side
    206,417x = 34,538,723,440.36
  5. Step 5: Solve for x
    x = 34,538,723,440.36/206,417
  6. Step 6: Final answer
    x = 167,324.99

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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.