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Finding the Fourth Proportional to 386,697.70, 580,074.18 and 161,831.71

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Solution

The fourth proportional to 386,697.70, 580,074.18 and 161,831.71 is: 242,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,697.70 : 580,074.18 = 161,831.71 : x
  2. Step 2: Convert to fraction form
    386,697.70/580,074.18 = 161,831.71/x
  3. Step 3: Cross multiply
    386,697.70x = 580,074.18 × 161,831.71
  4. Step 4: Simplify right side
    386,697.70x = 93,874,396,476.25
  5. Step 5: Solve for x
    x = 93,874,396,476.25/386,697.70
  6. Step 6: Final answer
    x = 242,759.13

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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.