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Finding the Fourth Proportional to 580,121, 870,181.50 and 206,158.76

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Solution

The fourth proportional to 580,121, 870,181.50 and 206,158.76 is: 309,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,121 : 870,181.50 = 206,158.76 : x
  2. Step 2: Convert to fraction form
    580,121/870,181.50 = 206,158.76/x
  3. Step 3: Cross multiply
    580,121x = 870,181.50 × 206,158.76
  4. Step 4: Simplify right side
    580,121x = 179,395,539,014.94
  5. Step 5: Solve for x
    x = 179,395,539,014.94/580,121
  6. Step 6: Final answer
    x = 309,238.14

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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.