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Finding the Fourth Proportional to 580,651.08, 870,830.46 and 206,586.60

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Solution

The fourth proportional to 580,651.08, 870,830.46 and 206,586.60 is: 309,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,651.08 : 870,830.46 = 206,586.60 : x
  2. Step 2: Convert to fraction form
    580,651.08/870,830.46 = 206,586.60/x
  3. Step 3: Cross multiply
    580,651.08x = 870,830.46 × 206,586.60
  4. Step 4: Simplify right side
    580,651.08x = 179,901,903,907.84
  5. Step 5: Solve for x
    x = 179,901,903,907.84/580,651.08
  6. Step 6: Final answer
    x = 309,827.90

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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.