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Finding the Fourth Proportional to 322,535.26, 483,904.94 and 145,057.78

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Solution

The fourth proportional to 322,535.26, 483,904.94 and 145,057.78 is: 217,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,535.26 : 483,904.94 = 145,057.78 : x
  2. Step 2: Convert to fraction form
    322,535.26/483,904.94 = 145,057.78/x
  3. Step 3: Cross multiply
    322,535.26x = 483,904.94 × 145,057.78
  4. Step 4: Simplify right side
    322,535.26x = 70,194,176,327.43
  5. Step 5: Solve for x
    x = 70,194,176,327.43/322,535.26
  6. Step 6: Final answer
    x = 217,632.57

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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.