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Finding the Fourth Proportional to 297,144, 445,664.22 and 137,206.32

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Solution

The fourth proportional to 297,144, 445,664.22 and 137,206.32 is: 205,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,144 : 445,664.22 = 137,206.32 : x
  2. Step 2: Convert to fraction form
    297,144/445,664.22 = 137,206.32/x
  3. Step 3: Cross multiply
    297,144x = 445,664.22 × 137,206.32
  4. Step 4: Simplify right side
    297,144x = 61,147,947,581.87
  5. Step 5: Solve for x
    x = 61,147,947,581.87/297,144
  6. Step 6: Final answer
    x = 205,785.57

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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.