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Finding the Fourth Proportional to 312,462.50, 468,715.62 and 125,474

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Solution

The fourth proportional to 312,462.50, 468,715.62 and 125,474 is: 188,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,462.50 : 468,715.62 = 125,474 : x
  2. Step 2: Convert to fraction form
    312,462.50/468,715.62 = 125,474/x
  3. Step 3: Cross multiply
    312,462.50x = 468,715.62 × 125,474
  4. Step 4: Simplify right side
    312,462.50x = 58,811,623,703.88
  5. Step 5: Solve for x
    x = 58,811,623,703.88/312,462.50
  6. Step 6: Final answer
    x = 188,219.78

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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.