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Finding the Fourth Proportional to 397,377, 548,380.31 and 227,622.06

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Solution

The fourth proportional to 397,377, 548,380.31 and 227,622.06 is: 314,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,377 : 548,380.31 = 227,622.06 : x
  2. Step 2: Convert to fraction form
    397,377/548,380.31 = 227,622.06/x
  3. Step 3: Cross multiply
    397,377x = 548,380.31 × 227,622.06
  4. Step 4: Simplify right side
    397,377x = 124,823,454,687.53
  5. Step 5: Solve for x
    x = 124,823,454,687.53/397,377
  6. Step 6: Final answer
    x = 314,118.47

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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.