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Finding the Fourth Proportional to 393,198.50, 589,797.79 and 97,710.50

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Solution

The fourth proportional to 393,198.50, 589,797.79 and 97,710.50 is: 146,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,198.50 : 589,797.79 = 97,710.50 : x
  2. Step 2: Convert to fraction form
    393,198.50/589,797.79 = 97,710.50/x
  3. Step 3: Cross multiply
    393,198.50x = 589,797.79 × 97,710.50
  4. Step 4: Simplify right side
    393,198.50x = 57,629,436,959.80
  5. Step 5: Solve for x
    x = 57,629,436,959.80/393,198.50
  6. Step 6: Final answer
    x = 146,565.76

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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.