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Finding the Fourth Proportional to 311,857.50, 467,815.42 and 101,438.94

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Solution

The fourth proportional to 311,857.50, 467,815.42 and 101,438.94 is: 152,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,857.50 : 467,815.42 = 101,438.94 : x
  2. Step 2: Convert to fraction form
    311,857.50/467,815.42 = 101,438.94/x
  3. Step 3: Cross multiply
    311,857.50x = 467,815.42 × 101,438.94
  4. Step 4: Simplify right side
    311,857.50x = 47,454,700,320.45
  5. Step 5: Solve for x
    x = 47,454,700,320.45/311,857.50
  6. Step 6: Final answer
    x = 152,167.90

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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.