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Finding the Fourth Proportional to 218,896.20, 328,344.30 and 140,164.20

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Solution

The fourth proportional to 218,896.20, 328,344.30 and 140,164.20 is: 210,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,896.20 : 328,344.30 = 140,164.20 : x
  2. Step 2: Convert to fraction form
    218,896.20/328,344.30 = 140,164.20/x
  3. Step 3: Cross multiply
    218,896.20x = 328,344.30 × 140,164.20
  4. Step 4: Simplify right side
    218,896.20x = 46,022,116,134.06
  5. Step 5: Solve for x
    x = 46,022,116,134.06/218,896.20
  6. Step 6: Final answer
    x = 210,246.30

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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.