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Finding the Fourth Proportional to 218,800.32, 328,255.89 and 61,028.74

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Solution

The fourth proportional to 218,800.32, 328,255.89 and 61,028.74 is: 91,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,800.32 : 328,255.89 = 61,028.74 : x
  2. Step 2: Convert to fraction form
    218,800.32/328,255.89 = 61,028.74/x
  3. Step 3: Cross multiply
    218,800.32x = 328,255.89 × 61,028.74
  4. Step 4: Simplify right side
    218,800.32x = 20,033,043,364.28
  5. Step 5: Solve for x
    x = 20,033,043,364.28/218,800.32
  6. Step 6: Final answer
    x = 91,558.57

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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.