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Finding the Fourth Proportional to 206,305.21, 309,480.96 and 185,114.98

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Solution

The fourth proportional to 206,305.21, 309,480.96 and 185,114.98 is: 277,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,305.21 : 309,480.96 = 185,114.98 : x
  2. Step 2: Convert to fraction form
    206,305.21/309,480.96 = 185,114.98/x
  3. Step 3: Cross multiply
    206,305.21x = 309,480.96 × 185,114.98
  4. Step 4: Simplify right side
    206,305.21x = 57,289,561,720.78
  5. Step 5: Solve for x
    x = 57,289,561,720.78/206,305.21
  6. Step 6: Final answer
    x = 277,693.24

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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.