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Finding the Fourth Proportional to 356,309.72, 491,714.49 and 195,164.78

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Solution

The fourth proportional to 356,309.72, 491,714.49 and 195,164.78 is: 269,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,309.72 : 491,714.49 = 195,164.78 : x
  2. Step 2: Convert to fraction form
    356,309.72/491,714.49 = 195,164.78/x
  3. Step 3: Cross multiply
    356,309.72x = 491,714.49 × 195,164.78
  4. Step 4: Simplify right side
    356,309.72x = 95,965,350,263.66
  5. Step 5: Solve for x
    x = 95,965,350,263.66/356,309.72
  6. Step 6: Final answer
    x = 269,331.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.