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Finding the Fourth Proportional to 455,390, 683,172.48 and 206,072

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Solution

The fourth proportional to 455,390, 683,172.48 and 206,072 is: 309,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,390 : 683,172.48 = 206,072 : x
  2. Step 2: Convert to fraction form
    455,390/683,172.48 = 206,072/x
  3. Step 3: Cross multiply
    455,390x = 683,172.48 × 206,072
  4. Step 4: Simplify right side
    455,390x = 140,782,719,298.56
  5. Step 5: Solve for x
    x = 140,782,719,298.56/455,390
  6. Step 6: Final answer
    x = 309,147.59

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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.