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Finding the Fourth Proportional to 225,365.36, 311,214.89 and 144,932.54

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Solution

The fourth proportional to 225,365.36, 311,214.89 and 144,932.54 is: 200,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,365.36 : 311,214.89 = 144,932.54 : x
  2. Step 2: Convert to fraction form
    225,365.36/311,214.89 = 144,932.54/x
  3. Step 3: Cross multiply
    225,365.36x = 311,214.89 × 144,932.54
  4. Step 4: Simplify right side
    225,365.36x = 45,105,163,299.78
  5. Step 5: Solve for x
    x = 45,105,163,299.78/225,365.36
  6. Step 6: Final answer
    x = 200,142.40

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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.