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Finding the Fourth Proportional to 455,551.60, 683,311.20 and 206,233.60

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Solution

The fourth proportional to 455,551.60, 683,311.20 and 206,233.60 is: 309,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,551.60 : 683,311.20 = 206,233.60 : x
  2. Step 2: Convert to fraction form
    455,551.60/683,311.20 = 206,233.60/x
  3. Step 3: Cross multiply
    455,551.60x = 683,311.20 × 206,233.60
  4. Step 4: Simplify right side
    455,551.60x = 140,921,728,696.32
  5. Step 5: Solve for x
    x = 140,921,728,696.32/455,551.60
  6. Step 6: Final answer
    x = 309,343.07

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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.