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Finding the Fourth Proportional to 409,332.33, 564,662.39 and 281,786.49

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Solution

The fourth proportional to 409,332.33, 564,662.39 and 281,786.49 is: 388,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,332.33 : 564,662.39 = 281,786.49 : x
  2. Step 2: Convert to fraction form
    409,332.33/564,662.39 = 281,786.49/x
  3. Step 3: Cross multiply
    409,332.33x = 564,662.39 × 281,786.49
  4. Step 4: Simplify right side
    409,332.33x = 159,114,231,504.18
  5. Step 5: Solve for x
    x = 159,114,231,504.18/409,332.33
  6. Step 6: Final answer
    x = 388,716.50

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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.