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Finding the Fourth Proportional to 262,908.96, 394,403.40 and 96,684

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Solution

The fourth proportional to 262,908.96, 394,403.40 and 96,684 is: 145,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,908.96 : 394,403.40 = 96,684 : x
  2. Step 2: Convert to fraction form
    262,908.96/394,403.40 = 96,684/x
  3. Step 3: Cross multiply
    262,908.96x = 394,403.40 × 96,684
  4. Step 4: Simplify right side
    262,908.96x = 38,132,498,325.60
  5. Step 5: Solve for x
    x = 38,132,498,325.60/262,908.96
  6. Step 6: Final answer
    x = 145,040.70

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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.