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Finding the Fourth Proportional to 580,100.90, 800,686.38 and 396,413.84

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Solution

The fourth proportional to 580,100.90, 800,686.38 and 396,413.84 is: 547,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,100.90 : 800,686.38 = 396,413.84 : x
  2. Step 2: Convert to fraction form
    580,100.90/800,686.38 = 396,413.84/x
  3. Step 3: Cross multiply
    580,100.90x = 800,686.38 × 396,413.84
  4. Step 4: Simplify right side
    580,100.90x = 317,403,162,531.50
  5. Step 5: Solve for x
    x = 317,403,162,531.50/580,100.90
  6. Step 6: Final answer
    x = 547,151.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.