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Finding the Fourth Proportional to 409,144.64, 564,604.32 and 227,864

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Solution

The fourth proportional to 409,144.64, 564,604.32 and 227,864 is: 314,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,144.64 : 564,604.32 = 227,864 : x
  2. Step 2: Convert to fraction form
    409,144.64/564,604.32 = 227,864/x
  3. Step 3: Cross multiply
    409,144.64x = 564,604.32 × 227,864
  4. Step 4: Simplify right side
    409,144.64x = 128,652,998,772.48
  5. Step 5: Solve for x
    x = 128,652,998,772.48/409,144.64
  6. Step 6: Final answer
    x = 314,443.81

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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.