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Finding the Fourth Proportional to 206,585.40, 309,878.10 and 143,599.80

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Solution

The fourth proportional to 206,585.40, 309,878.10 and 143,599.80 is: 215,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,585.40 : 309,878.10 = 143,599.80 : x
  2. Step 2: Convert to fraction form
    206,585.40/309,878.10 = 143,599.80/x
  3. Step 3: Cross multiply
    206,585.40x = 309,878.10 × 143,599.80
  4. Step 4: Simplify right side
    206,585.40x = 44,498,433,184.38
  5. Step 5: Solve for x
    x = 44,498,433,184.38/206,585.40
  6. Step 6: Final answer
    x = 215,399.70

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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.