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Finding the Fourth Proportional to 313,843.02, 472,472.26 and 285,942.30

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Solution

The fourth proportional to 313,843.02, 472,472.26 and 285,942.30 is: 430,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,843.02 : 472,472.26 = 285,942.30 : x
  2. Step 2: Convert to fraction form
    313,843.02/472,472.26 = 285,942.30/x
  3. Step 3: Cross multiply
    313,843.02x = 472,472.26 × 285,942.30
  4. Step 4: Simplify right side
    313,843.02x = 135,099,804,710.60
  5. Step 5: Solve for x
    x = 135,099,804,710.60/313,843.02
  6. Step 6: Final answer
    x = 430,469.36

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.