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Finding the Fourth Proportional to 409,076.62, 564,542.39 and 227,777.06

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Solution

The fourth proportional to 409,076.62, 564,542.39 and 227,777.06 is: 314,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,076.62 : 564,542.39 = 227,777.06 : x
  2. Step 2: Convert to fraction form
    409,076.62/564,542.39 = 227,777.06/x
  3. Step 3: Cross multiply
    409,076.62x = 564,542.39 × 227,777.06
  4. Step 4: Simplify right side
    409,076.62x = 128,589,804,700.69
  5. Step 5: Solve for x
    x = 128,589,804,700.69/409,076.62
  6. Step 6: Final answer
    x = 314,341.62

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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.