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Finding the Fourth Proportional to 219,532.80, 328,838.40 and 120,921.60

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Solution

The fourth proportional to 219,532.80, 328,838.40 and 120,921.60 is: 181,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,532.80 : 328,838.40 = 120,921.60 : x
  2. Step 2: Convert to fraction form
    219,532.80/328,838.40 = 120,921.60/x
  3. Step 3: Cross multiply
    219,532.80x = 328,838.40 × 120,921.60
  4. Step 4: Simplify right side
    219,532.80x = 39,763,665,469.44
  5. Step 5: Solve for x
    x = 39,763,665,469.44/219,532.80
  6. Step 6: Final answer
    x = 181,128.59

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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.