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Finding the Fourth Proportional to 397,698.50, 548,732.98 and 225,575.34

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Solution

The fourth proportional to 397,698.50, 548,732.98 and 225,575.34 is: 311,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,698.50 : 548,732.98 = 225,575.34 : x
  2. Step 2: Convert to fraction form
    397,698.50/548,732.98 = 225,575.34/x
  3. Step 3: Cross multiply
    397,698.50x = 548,732.98 × 225,575.34
  4. Step 4: Simplify right side
    397,698.50x = 123,780,628,532.71
  5. Step 5: Solve for x
    x = 123,780,628,532.71/397,698.50
  6. Step 6: Final answer
    x = 311,242.38

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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.