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Finding the Fourth Proportional to 548,723.64, 757,268 and 306,991.84

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Solution

The fourth proportional to 548,723.64, 757,268 and 306,991.84 is: 423,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,723.64 : 757,268 = 306,991.84 : x
  2. Step 2: Convert to fraction form
    548,723.64/757,268 = 306,991.84/x
  3. Step 3: Cross multiply
    548,723.64x = 757,268 × 306,991.84
  4. Step 4: Simplify right side
    548,723.64x = 232,475,096,693.12
  5. Step 5: Solve for x
    x = 232,475,096,693.12/548,723.64
  6. Step 6: Final answer
    x = 423,665.17

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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.