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Finding the Fourth Proportional to 312,489.80, 468,735.27 and 112,951.06

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Solution

The fourth proportional to 312,489.80, 468,735.27 and 112,951.06 is: 169,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,489.80 : 468,735.27 = 112,951.06 : x
  2. Step 2: Convert to fraction form
    312,489.80/468,735.27 = 112,951.06/x
  3. Step 3: Cross multiply
    312,489.80x = 468,735.27 × 112,951.06
  4. Step 4: Simplify right side
    312,489.80x = 52,944,145,605.89
  5. Step 5: Solve for x
    x = 52,944,145,605.89/312,489.80
  6. Step 6: Final answer
    x = 169,426.80

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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.