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Finding the Fourth Proportional to 580,464.80, 870,489.84 and 206,413.28

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Solution

The fourth proportional to 580,464.80, 870,489.84 and 206,413.28 is: 309,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,464.80 : 870,489.84 = 206,413.28 : x
  2. Step 2: Convert to fraction form
    580,464.80/870,489.84 = 206,413.28/x
  3. Step 3: Cross multiply
    580,464.80x = 870,489.84 × 206,413.28
  4. Step 4: Simplify right side
    580,464.80x = 179,680,663,081.08
  5. Step 5: Solve for x
    x = 179,680,663,081.08/580,464.80
  6. Step 6: Final answer
    x = 309,546.18

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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.