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Finding the Fourth Proportional to 311,856.40, 467,477.40 and 154,109.20

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Solution

The fourth proportional to 311,856.40, 467,477.40 and 154,109.20 is: 231,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,856.40 : 467,477.40 = 154,109.20 : x
  2. Step 2: Convert to fraction form
    311,856.40/467,477.40 = 154,109.20/x
  3. Step 3: Cross multiply
    311,856.40x = 467,477.40 × 154,109.20
  4. Step 4: Simplify right side
    311,856.40x = 72,042,568,132.08
  5. Step 5: Solve for x
    x = 72,042,568,132.08/311,856.40
  6. Step 6: Final answer
    x = 231,011.99

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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.