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Finding the Fourth Proportional to 310,408.36, 427,954.98 and 202,791.40

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Solution

The fourth proportional to 310,408.36, 427,954.98 and 202,791.40 is: 279,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,408.36 : 427,954.98 = 202,791.40 : x
  2. Step 2: Convert to fraction form
    310,408.36/427,954.98 = 202,791.40/x
  3. Step 3: Cross multiply
    310,408.36x = 427,954.98 × 202,791.40
  4. Step 4: Simplify right side
    310,408.36x = 86,785,589,531.17
  5. Step 5: Solve for x
    x = 86,785,589,531.17/310,408.36
  6. Step 6: Final answer
    x = 279,585.22

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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.