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Finding the Fourth Proportional to 311,868, 467,831.16 and 101,449.44

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Solution

The fourth proportional to 311,868, 467,831.16 and 101,449.44 is: 152,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,868 : 467,831.16 = 101,449.44 : x
  2. Step 2: Convert to fraction form
    311,868/467,831.16 = 101,449.44/x
  3. Step 3: Cross multiply
    311,868x = 467,831.16 × 101,449.44
  4. Step 4: Simplify right side
    311,868x = 47,461,209,196.55
  5. Step 5: Solve for x
    x = 47,461,209,196.55/311,868
  6. Step 6: Final answer
    x = 152,183.65

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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.