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Finding the Fourth Proportional to 218,741.50, 328,112.25 and 70,997.50

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Solution

The fourth proportional to 218,741.50, 328,112.25 and 70,997.50 is: 106,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,741.50 : 328,112.25 = 70,997.50 : x
  2. Step 2: Convert to fraction form
    218,741.50/328,112.25 = 70,997.50/x
  3. Step 3: Cross multiply
    218,741.50x = 328,112.25 × 70,997.50
  4. Step 4: Simplify right side
    218,741.50x = 23,295,149,469.38
  5. Step 5: Solve for x
    x = 23,295,149,469.38/218,741.50
  6. Step 6: Final answer
    x = 106,496.25

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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.