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Finding the Fourth Proportional to 312,949.42, 469,216.71 and 113,243.81

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Solution

The fourth proportional to 312,949.42, 469,216.71 and 113,243.81 is: 169,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,949.42 : 469,216.71 = 113,243.81 : x
  2. Step 2: Convert to fraction form
    312,949.42/469,216.71 = 113,243.81/x
  3. Step 3: Cross multiply
    312,949.42x = 469,216.71 × 113,243.81
  4. Step 4: Simplify right side
    312,949.42x = 53,135,889,129.11
  5. Step 5: Solve for x
    x = 53,135,889,129.11/312,949.42
  6. Step 6: Final answer
    x = 169,790.66

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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.