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Finding the Fourth Proportional to 312,473.30, 468,731.96 and 154,659.38

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Solution

The fourth proportional to 312,473.30, 468,731.96 and 154,659.38 is: 231,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,473.30 : 468,731.96 = 154,659.38 : x
  2. Step 2: Convert to fraction form
    312,473.30/468,731.96 = 154,659.38/x
  3. Step 3: Cross multiply
    312,473.30x = 468,731.96 × 154,659.38
  4. Step 4: Simplify right side
    312,473.30x = 72,493,792,652.76
  5. Step 5: Solve for x
    x = 72,493,792,652.76/312,473.30
  6. Step 6: Final answer
    x = 231,999.96

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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.