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Finding the Fourth Proportional to 312,288.99, 468,431.91 and 75,631.66

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Solution

The fourth proportional to 312,288.99, 468,431.91 and 75,631.66 is: 113,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,288.99 : 468,431.91 = 75,631.66 : x
  2. Step 2: Convert to fraction form
    312,288.99/468,431.91 = 75,631.66/x
  3. Step 3: Cross multiply
    312,288.99x = 468,431.91 × 75,631.66
  4. Step 4: Simplify right side
    312,288.99x = 35,428,282,950.27
  5. Step 5: Solve for x
    x = 35,428,282,950.27/312,288.99
  6. Step 6: Final answer
    x = 113,447.11

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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.