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Finding the Fourth Proportional to 312,490.30, 468,736.02 and 112,951.56

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Solution

The fourth proportional to 312,490.30, 468,736.02 and 112,951.56 is: 169,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,490.30 : 468,736.02 = 112,951.56 : x
  2. Step 2: Convert to fraction form
    312,490.30/468,736.02 = 112,951.56/x
  3. Step 3: Cross multiply
    312,490.30x = 468,736.02 × 112,951.56
  4. Step 4: Simplify right side
    312,490.30x = 52,944,464,687.19
  5. Step 5: Solve for x
    x = 52,944,464,687.19/312,490.30
  6. Step 6: Final answer
    x = 169,427.55

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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.