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Finding the Fourth Proportional to 322,620.57, 445,088.52 and 186,629.31

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Solution

The fourth proportional to 322,620.57, 445,088.52 and 186,629.31 is: 257,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,620.57 : 445,088.52 = 186,629.31 : x
  2. Step 2: Convert to fraction form
    322,620.57/445,088.52 = 186,629.31/x
  3. Step 3: Cross multiply
    322,620.57x = 445,088.52 × 186,629.31
  4. Step 4: Simplify right side
    322,620.57x = 83,066,563,376.52
  5. Step 5: Solve for x
    x = 83,066,563,376.52/322,620.57
  6. Step 6: Final answer
    x = 257,474.48

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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.