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Finding the Fourth Proportional to 311,806.12, 467,491.46 and 159,707.79

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Solution

The fourth proportional to 311,806.12, 467,491.46 and 159,707.79 is: 239,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,806.12 : 467,491.46 = 159,707.79 : x
  2. Step 2: Convert to fraction form
    311,806.12/467,491.46 = 159,707.79/x
  3. Step 3: Cross multiply
    311,806.12x = 467,491.46 × 159,707.79
  4. Step 4: Simplify right side
    311,806.12x = 74,662,027,920.47
  5. Step 5: Solve for x
    x = 74,662,027,920.47/311,806.12
  6. Step 6: Final answer
    x = 239,450.17

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1.5x scale

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.