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Finding the Fourth Proportional to 580,012.80, 870,172.80 and 205,996.80

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Solution

The fourth proportional to 580,012.80, 870,172.80 and 205,996.80 is: 309,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,012.80 : 870,172.80 = 205,996.80 : x
  2. Step 2: Convert to fraction form
    580,012.80/870,172.80 = 205,996.80/x
  3. Step 3: Cross multiply
    580,012.80x = 870,172.80 × 205,996.80
  4. Step 4: Simplify right side
    580,012.80x = 179,252,812,247.04
  5. Step 5: Solve for x
    x = 179,252,812,247.04/580,012.80
  6. Step 6: Final answer
    x = 309,049.75

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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.