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Finding the Fourth Proportional to 208,365.36, 311,933.64 and 129,224.88

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Solution

The fourth proportional to 208,365.36, 311,933.64 and 129,224.88 is: 193,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,365.36 : 311,933.64 = 129,224.88 : x
  2. Step 2: Convert to fraction form
    208,365.36/311,933.64 = 129,224.88/x
  3. Step 3: Cross multiply
    208,365.36x = 311,933.64 × 129,224.88
  4. Step 4: Simplify right side
    208,365.36x = 40,309,587,196.96
  5. Step 5: Solve for x
    x = 40,309,587,196.96/208,365.36
  6. Step 6: Final answer
    x = 193,456.28

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1.5x scale

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.