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Finding the Fourth Proportional to 254,295.78, 381,450.15 and 76,808.58

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Solution

The fourth proportional to 254,295.78, 381,450.15 and 76,808.58 is: 115,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,295.78 : 381,450.15 = 76,808.58 : x
  2. Step 2: Convert to fraction form
    254,295.78/381,450.15 = 76,808.58/x
  3. Step 3: Cross multiply
    254,295.78x = 381,450.15 × 76,808.58
  4. Step 4: Simplify right side
    254,295.78x = 29,298,644,362.29
  5. Step 5: Solve for x
    x = 29,298,644,362.29/254,295.78
  6. Step 6: Final answer
    x = 115,214.83

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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.