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Finding the Fourth Proportional to 311,885.40, 467,828.10 and 112,212.30

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Solution

The fourth proportional to 311,885.40, 467,828.10 and 112,212.30 is: 168,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,885.40 : 467,828.10 = 112,212.30 : x
  2. Step 2: Convert to fraction form
    311,885.40/467,828.10 = 112,212.30/x
  3. Step 3: Cross multiply
    311,885.40x = 467,828.10 × 112,212.30
  4. Step 4: Simplify right side
    311,885.40x = 52,496,067,105.63
  5. Step 5: Solve for x
    x = 52,496,067,105.63/311,885.40
  6. Step 6: Final answer
    x = 168,318.45

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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.