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Finding the Fourth Proportional to 262,633.98, 394,074 and 129,441.63

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Solution

The fourth proportional to 262,633.98, 394,074 and 129,441.63 is: 194,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,633.98 : 394,074 = 129,441.63 : x
  2. Step 2: Convert to fraction form
    262,633.98/394,074 = 129,441.63/x
  3. Step 3: Cross multiply
    262,633.98x = 394,074 × 129,441.63
  4. Step 4: Simplify right side
    262,633.98x = 51,009,580,900.62
  5. Step 5: Solve for x
    x = 51,009,580,900.62/262,633.98
  6. Step 6: Final answer
    x = 194,223.08

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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.