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Finding the Fourth Proportional to 311,628.67, 467,073.95 and 143,006.87

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Solution

The fourth proportional to 311,628.67, 467,073.95 and 143,006.87 is: 214,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,628.67 : 467,073.95 = 143,006.87 : x
  2. Step 2: Convert to fraction form
    311,628.67/467,073.95 = 143,006.87/x
  3. Step 3: Cross multiply
    311,628.67x = 467,073.95 × 143,006.87
  4. Step 4: Simplify right side
    311,628.67x = 66,794,781,473.40
  5. Step 5: Solve for x
    x = 66,794,781,473.40/311,628.67
  6. Step 6: Final answer
    x = 214,340.94

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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.