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Finding the Fourth Proportional to 206,907.91, 308,551.21 and 205,016.12

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Solution

The fourth proportional to 206,907.91, 308,551.21 and 205,016.12 is: 305,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,907.91 : 308,551.21 = 205,016.12 : x
  2. Step 2: Convert to fraction form
    206,907.91/308,551.21 = 205,016.12/x
  3. Step 3: Cross multiply
    206,907.91x = 308,551.21 × 205,016.12
  4. Step 4: Simplify right side
    206,907.91x = 63,257,971,895.51
  5. Step 5: Solve for x
    x = 63,257,971,895.51/206,907.91
  6. Step 6: Final answer
    x = 305,730.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.