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Finding the Fourth Proportional to 305,807.65, 422,025.31 and 169,844.14

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Solution

The fourth proportional to 305,807.65, 422,025.31 and 169,844.14 is: 234,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,807.65 : 422,025.31 = 169,844.14 : x
  2. Step 2: Convert to fraction form
    305,807.65/422,025.31 = 169,844.14/x
  3. Step 3: Cross multiply
    305,807.65x = 422,025.31 × 169,844.14
  4. Step 4: Simplify right side
    305,807.65x = 71,678,527,052.71
  5. Step 5: Solve for x
    x = 71,678,527,052.71/305,807.65
  6. Step 6: Final answer
    x = 234,390.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.