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Finding the Fourth Proportional to 262,914.60, 394,274.70 and 85,427.40

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Solution

The fourth proportional to 262,914.60, 394,274.70 and 85,427.40 is: 128,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,914.60 : 394,274.70 = 85,427.40 : x
  2. Step 2: Convert to fraction form
    262,914.60/394,274.70 = 85,427.40/x
  3. Step 3: Cross multiply
    262,914.60x = 394,274.70 × 85,427.40
  4. Step 4: Simplify right side
    262,914.60x = 33,681,862,506.78
  5. Step 5: Solve for x
    x = 33,681,862,506.78/262,914.60
  6. Step 6: Final answer
    x = 128,109.52

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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.