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Finding the Fourth Proportional to 324,022.28, 486,033.42 and 102,389

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Solution

The fourth proportional to 324,022.28, 486,033.42 and 102,389 is: 153,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,022.28 : 486,033.42 = 102,389 : x
  2. Step 2: Convert to fraction form
    324,022.28/486,033.42 = 102,389/x
  3. Step 3: Cross multiply
    324,022.28x = 486,033.42 × 102,389
  4. Step 4: Simplify right side
    324,022.28x = 49,764,475,840.38
  5. Step 5: Solve for x
    x = 49,764,475,840.38/324,022.28
  6. Step 6: Final answer
    x = 153,583.50

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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.