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Finding the Fourth Proportional to 206,431.38, 309,209.64 and 155,955.42

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Solution

The fourth proportional to 206,431.38, 309,209.64 and 155,955.42 is: 233,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,431.38 : 309,209.64 = 155,955.42 : x
  2. Step 2: Convert to fraction form
    206,431.38/309,209.64 = 155,955.42/x
  3. Step 3: Cross multiply
    206,431.38x = 309,209.64 × 155,955.42
  4. Step 4: Simplify right side
    206,431.38x = 48,222,919,274.25
  5. Step 5: Solve for x
    x = 48,222,919,274.25/206,431.38
  6. Step 6: Final answer
    x = 233,602.66

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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.