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Finding the Fourth Proportional to 208,912.36, 288,299.64 and 113,419.48

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Solution

The fourth proportional to 208,912.36, 288,299.64 and 113,419.48 is: 156,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,912.36 : 288,299.64 = 113,419.48 : x
  2. Step 2: Convert to fraction form
    208,912.36/288,299.64 = 113,419.48/x
  3. Step 3: Cross multiply
    208,912.36x = 288,299.64 × 113,419.48
  4. Step 4: Simplify right side
    208,912.36x = 32,698,795,252.99
  5. Step 5: Solve for x
    x = 32,698,795,252.99/208,912.36
  6. Step 6: Final answer
    x = 156,519.20

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1.5x scale

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.