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Finding the Fourth Proportional to 280,315.06, 420,472.58 and 160,287.81

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Solution

The fourth proportional to 280,315.06, 420,472.58 and 160,287.81 is: 240,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,315.06 : 420,472.58 = 160,287.81 : x
  2. Step 2: Convert to fraction form
    280,315.06/420,472.58 = 160,287.81/x
  3. Step 3: Cross multiply
    280,315.06x = 420,472.58 × 160,287.81
  4. Step 4: Simplify right side
    280,315.06x = 67,396,629,413.97
  5. Step 5: Solve for x
    x = 67,396,629,413.97/280,315.06
  6. Step 6: Final answer
    x = 240,431.71

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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.