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Finding the Fourth Proportional to 206,367.40, 309,551.12 and 136,230.31

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Solution

The fourth proportional to 206,367.40, 309,551.12 and 136,230.31 is: 204,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,367.40 : 309,551.12 = 136,230.31 : x
  2. Step 2: Convert to fraction form
    206,367.40/309,551.12 = 136,230.31/x
  3. Step 3: Cross multiply
    206,367.40x = 309,551.12 × 136,230.31
  4. Step 4: Simplify right side
    206,367.40x = 42,170,242,809.54
  5. Step 5: Solve for x
    x = 42,170,242,809.54/206,367.40
  6. Step 6: Final answer
    x = 204,345.47

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1.5x scale

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.