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Finding the Fourth Proportional to 275,361.19, 413,066.39 and 85,823.17

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Solution

The fourth proportional to 275,361.19, 413,066.39 and 85,823.17 is: 128,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,361.19 : 413,066.39 = 85,823.17 : x
  2. Step 2: Convert to fraction form
    275,361.19/413,066.39 = 85,823.17/x
  3. Step 3: Cross multiply
    275,361.19x = 413,066.39 × 85,823.17
  4. Step 4: Simplify right side
    275,361.19x = 35,450,665,548.47
  5. Step 5: Solve for x
    x = 35,450,665,548.47/275,361.19
  6. Step 6: Final answer
    x = 128,742.42

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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.