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Finding the Fourth Proportional to 431,637.82, 647,643.24 and 231,724.77

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Solution

The fourth proportional to 431,637.82, 647,643.24 and 231,724.77 is: 347,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,637.82 : 647,643.24 = 231,724.77 : x
  2. Step 2: Convert to fraction form
    431,637.82/647,643.24 = 231,724.77/x
  3. Step 3: Cross multiply
    431,637.82x = 647,643.24 × 231,724.77
  4. Step 4: Simplify right side
    431,637.82x = 150,074,980,831.06
  5. Step 5: Solve for x
    x = 150,074,980,831.06/431,637.82
  6. Step 6: Final answer
    x = 347,687.28

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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.