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Finding the Fourth Proportional to 206,428.20, 309,642.30 and 127,631.40

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Solution

The fourth proportional to 206,428.20, 309,642.30 and 127,631.40 is: 191,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,428.20 : 309,642.30 = 127,631.40 : x
  2. Step 2: Convert to fraction form
    206,428.20/309,642.30 = 127,631.40/x
  3. Step 3: Cross multiply
    206,428.20x = 309,642.30 × 127,631.40
  4. Step 4: Simplify right side
    206,428.20x = 39,520,080,248.22
  5. Step 5: Solve for x
    x = 39,520,080,248.22/206,428.20
  6. Step 6: Final answer
    x = 191,447.10

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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.