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Finding the Fourth Proportional to 580,104, 870,156 and 206,141.76

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Solution

The fourth proportional to 580,104, 870,156 and 206,141.76 is: 309,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,104 : 870,156 = 206,141.76 : x
  2. Step 2: Convert to fraction form
    580,104/870,156 = 206,141.76/x
  3. Step 3: Cross multiply
    580,104x = 870,156 × 206,141.76
  4. Step 4: Simplify right side
    580,104x = 179,375,489,314.56
  5. Step 5: Solve for x
    x = 179,375,489,314.56/580,104
  6. Step 6: Final answer
    x = 309,212.64

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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.