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Finding the Fourth Proportional to 262,782.96, 394,174.32 and 85,290

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Solution

The fourth proportional to 262,782.96, 394,174.32 and 85,290 is: 127,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,782.96 : 394,174.32 = 85,290 : x
  2. Step 2: Convert to fraction form
    262,782.96/394,174.32 = 85,290/x
  3. Step 3: Cross multiply
    262,782.96x = 394,174.32 × 85,290
  4. Step 4: Simplify right side
    262,782.96x = 33,619,127,752.80
  5. Step 5: Solve for x
    x = 33,619,127,752.80/262,782.96
  6. Step 6: Final answer
    x = 127,934.96

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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.