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Finding the Fourth Proportional to 312,960.67, 469,323.15 and 113,231.68

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Solution

The fourth proportional to 312,960.67, 469,323.15 and 113,231.68 is: 169,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,960.67 : 469,323.15 = 113,231.68 : x
  2. Step 2: Convert to fraction form
    312,960.67/469,323.15 = 113,231.68/x
  3. Step 3: Cross multiply
    312,960.67x = 469,323.15 × 113,231.68
  4. Step 4: Simplify right side
    312,960.67x = 53,142,248,737.39
  5. Step 5: Solve for x
    x = 53,142,248,737.39/312,960.67
  6. Step 6: Final answer
    x = 169,804.88

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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.