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Finding the Fourth Proportional to 308,728.64, 462,826.74 and 119,321.88

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Solution

The fourth proportional to 308,728.64, 462,826.74 and 119,321.88 is: 178,879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,728.64 : 462,826.74 = 119,321.88 : x
  2. Step 2: Convert to fraction form
    308,728.64/462,826.74 = 119,321.88/x
  3. Step 3: Cross multiply
    308,728.64x = 462,826.74 × 119,321.88
  4. Step 4: Simplify right side
    308,728.64x = 55,225,356,731.07
  5. Step 5: Solve for x
    x = 55,225,356,731.07/308,728.64
  6. Step 6: Final answer
    x = 178,879.93

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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.