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Finding the Fourth Proportional to 301,287.46, 451,933.84 and 76,648.13

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Solution

The fourth proportional to 301,287.46, 451,933.84 and 76,648.13 is: 114,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,287.46 : 451,933.84 = 76,648.13 : x
  2. Step 2: Convert to fraction form
    301,287.46/451,933.84 = 76,648.13/x
  3. Step 3: Cross multiply
    301,287.46x = 451,933.84 × 76,648.13
  4. Step 4: Simplify right side
    301,287.46x = 34,639,883,719.72
  5. Step 5: Solve for x
    x = 34,639,883,719.72/301,287.46
  6. Step 6: Final answer
    x = 114,972.87

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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.