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Finding the Fourth Proportional to 220,428.36, 330,736.16 and 120,471.77

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Solution

The fourth proportional to 220,428.36, 330,736.16 and 120,471.77 is: 180,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,428.36 : 330,736.16 = 120,471.77 : x
  2. Step 2: Convert to fraction form
    220,428.36/330,736.16 = 120,471.77/x
  3. Step 3: Cross multiply
    220,428.36x = 330,736.16 × 120,471.77
  4. Step 4: Simplify right side
    220,428.36x = 39,844,370,598.20
  5. Step 5: Solve for x
    x = 39,844,370,598.20/220,428.36
  6. Step 6: Final answer
    x = 180,758.82

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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.