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Finding the Fourth Proportional to 310,113.44, 427,996.24 and 189,229.14

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Solution

The fourth proportional to 310,113.44, 427,996.24 and 189,229.14 is: 261,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,113.44 : 427,996.24 = 189,229.14 : x
  2. Step 2: Convert to fraction form
    310,113.44/427,996.24 = 189,229.14/x
  3. Step 3: Cross multiply
    310,113.44x = 427,996.24 × 189,229.14
  4. Step 4: Simplify right side
    310,113.44x = 80,989,360,418.43
  5. Step 5: Solve for x
    x = 80,989,360,418.43/310,113.44
  6. Step 6: Final answer
    x = 261,160.43

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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.