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Finding the Fourth Proportional to 312,267.38, 468,414.02 and 90,651.38

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Solution

The fourth proportional to 312,267.38, 468,414.02 and 90,651.38 is: 135,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,267.38 : 468,414.02 = 90,651.38 : x
  2. Step 2: Convert to fraction form
    312,267.38/468,414.02 = 90,651.38/x
  3. Step 3: Cross multiply
    312,267.38x = 468,414.02 × 90,651.38
  4. Step 4: Simplify right side
    312,267.38x = 42,462,375,208.91
  5. Step 5: Solve for x
    x = 42,462,375,208.91/312,267.38
  6. Step 6: Final answer
    x = 135,980.82

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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.