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Finding the Fourth Proportional to 301,101.30, 451,652.13 and 76,478.58

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Solution

The fourth proportional to 301,101.30, 451,652.13 and 76,478.58 is: 114,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,101.30 : 451,652.13 = 76,478.58 : x
  2. Step 2: Convert to fraction form
    301,101.30/451,652.13 = 76,478.58/x
  3. Step 3: Cross multiply
    301,101.30x = 451,652.13 × 76,478.58
  4. Step 4: Simplify right side
    301,101.30x = 34,541,713,556.38
  5. Step 5: Solve for x
    x = 34,541,713,556.38/301,101.30
  6. Step 6: Final answer
    x = 114,717.92

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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.