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Finding the Fourth Proportional to 580,413.84, 870,301.07 and 310,857.89

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Solution

The fourth proportional to 580,413.84, 870,301.07 and 310,857.89 is: 466,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,413.84 : 870,301.07 = 310,857.89 : x
  2. Step 2: Convert to fraction form
    580,413.84/870,301.07 = 310,857.89/x
  3. Step 3: Cross multiply
    580,413.84x = 870,301.07 × 310,857.89
  4. Step 4: Simplify right side
    580,413.84x = 270,539,951,293.44
  5. Step 5: Solve for x
    x = 270,539,951,293.44/580,413.84
  6. Step 6: Final answer
    x = 466,115.61

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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.