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Finding the Fourth Proportional to 312,690.29, 469,028.95 and 76,034.21

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Solution

The fourth proportional to 312,690.29, 469,028.95 and 76,034.21 is: 114,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,690.29 : 469,028.95 = 76,034.21 : x
  2. Step 2: Convert to fraction form
    312,690.29/469,028.95 = 76,034.21/x
  3. Step 3: Cross multiply
    312,690.29x = 469,028.95 × 76,034.21
  4. Step 4: Simplify right side
    312,690.29x = 35,662,243,145.15
  5. Step 5: Solve for x
    x = 35,662,243,145.15/312,690.29
  6. Step 6: Final answer
    x = 114,049.73

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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.