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Finding the Fourth Proportional to 308,654.16, 462,999.32 and 119,115.52

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Solution

The fourth proportional to 308,654.16, 462,999.32 and 119,115.52 is: 178,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,654.16 : 462,999.32 = 119,115.52 : x
  2. Step 2: Convert to fraction form
    308,654.16/462,999.32 = 119,115.52/x
  3. Step 3: Cross multiply
    308,654.16x = 462,999.32 × 119,115.52
  4. Step 4: Simplify right side
    308,654.16x = 55,150,404,761.45
  5. Step 5: Solve for x
    x = 55,150,404,761.45/308,654.16
  6. Step 6: Final answer
    x = 178,680.26

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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.