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Finding the Fourth Proportional to 301,141.70, 451,710.42 and 76,502.78

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Solution

The fourth proportional to 301,141.70, 451,710.42 and 76,502.78 is: 114,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,141.70 : 451,710.42 = 76,502.78 : x
  2. Step 2: Convert to fraction form
    301,141.70/451,710.42 = 76,502.78/x
  3. Step 3: Cross multiply
    301,141.70x = 451,710.42 × 76,502.78
  4. Step 4: Simplify right side
    301,141.70x = 34,557,102,884.97
  5. Step 5: Solve for x
    x = 34,557,102,884.97/301,141.70
  6. Step 6: Final answer
    x = 114,753.63

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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.