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Finding the Fourth Proportional to 312,299.02, 468,378.48 and 143,657.38

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Solution

The fourth proportional to 312,299.02, 468,378.48 and 143,657.38 is: 215,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,299.02 : 468,378.48 = 143,657.38 : x
  2. Step 2: Convert to fraction form
    312,299.02/468,378.48 = 143,657.38/x
  3. Step 3: Cross multiply
    312,299.02x = 468,378.48 × 143,657.38
  4. Step 4: Simplify right side
    312,299.02x = 67,286,025,285.18
  5. Step 5: Solve for x
    x = 67,286,025,285.18/312,299.02
  6. Step 6: Final answer
    x = 215,453.85

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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.