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Finding the Fourth Proportional to 219,906.55, 303,314.64 and 201,815.74

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Solution

The fourth proportional to 219,906.55, 303,314.64 and 201,815.74 is: 278,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,906.55 : 303,314.64 = 201,815.74 : x
  2. Step 2: Convert to fraction form
    219,906.55/303,314.64 = 201,815.74/x
  3. Step 3: Cross multiply
    219,906.55x = 303,314.64 × 201,815.74
  4. Step 4: Simplify right side
    219,906.55x = 61,213,668,524.43
  5. Step 5: Solve for x
    x = 61,213,668,524.43/219,906.55
  6. Step 6: Final answer
    x = 278,362.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.