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Finding the Fourth Proportional to 312,022.20, 468,234.90 and 171,881.40

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Solution

The fourth proportional to 312,022.20, 468,234.90 and 171,881.40 is: 257,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,022.20 : 468,234.90 = 171,881.40 : x
  2. Step 2: Convert to fraction form
    312,022.20/468,234.90 = 171,881.40/x
  3. Step 3: Cross multiply
    312,022.20x = 468,234.90 × 171,881.40
  4. Step 4: Simplify right side
    312,022.20x = 80,480,870,140.86
  5. Step 5: Solve for x
    x = 80,480,870,140.86/312,022.20
  6. Step 6: Final answer
    x = 257,933.15

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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.