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Finding the Fourth Proportional to 268,408.04, 402,361.76 and 90,791.46

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Solution

The fourth proportional to 268,408.04, 402,361.76 and 90,791.46 is: 136,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,408.04 : 402,361.76 = 90,791.46 : x
  2. Step 2: Convert to fraction form
    268,408.04/402,361.76 = 90,791.46/x
  3. Step 3: Cross multiply
    268,408.04x = 402,361.76 × 90,791.46
  4. Step 4: Simplify right side
    268,408.04x = 36,531,011,638.57
  5. Step 5: Solve for x
    x = 36,531,011,638.57/268,408.04
  6. Step 6: Final answer
    x = 136,102.52

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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.