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Finding the Fourth Proportional to 455,912.80, 683,869.20 and 203,192.80

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Solution

The fourth proportional to 455,912.80, 683,869.20 and 203,192.80 is: 304,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,912.80 : 683,869.20 = 203,192.80 : x
  2. Step 2: Convert to fraction form
    455,912.80/683,869.20 = 203,192.80/x
  3. Step 3: Cross multiply
    455,912.80x = 683,869.20 × 203,192.80
  4. Step 4: Simplify right side
    455,912.80x = 138,957,297,581.76
  5. Step 5: Solve for x
    x = 138,957,297,581.76/455,912.80
  6. Step 6: Final answer
    x = 304,789.20

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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.