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Finding the Fourth Proportional to 206,494.20, 309,741.30 and 127,762.20

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Solution

The fourth proportional to 206,494.20, 309,741.30 and 127,762.20 is: 191,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,494.20 : 309,741.30 = 127,762.20 : x
  2. Step 2: Convert to fraction form
    206,494.20/309,741.30 = 127,762.20/x
  3. Step 3: Cross multiply
    206,494.20x = 309,741.30 × 127,762.20
  4. Step 4: Simplify right side
    206,494.20x = 39,573,229,918.86
  5. Step 5: Solve for x
    x = 39,573,229,918.86/206,494.20
  6. Step 6: Final answer
    x = 191,643.30

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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.