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Finding the Fourth Proportional to 409,020.56, 564,443.84 and 227,728.56

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Solution

The fourth proportional to 409,020.56, 564,443.84 and 227,728.56 is: 314,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,020.56 : 564,443.84 = 227,728.56 : x
  2. Step 2: Convert to fraction form
    409,020.56/564,443.84 = 227,728.56/x
  3. Step 3: Cross multiply
    409,020.56x = 564,443.84 × 227,728.56
  4. Step 4: Simplify right side
    409,020.56x = 128,539,982,884.07
  5. Step 5: Solve for x
    x = 128,539,982,884.07/409,020.56
  6. Step 6: Final answer
    x = 314,262.89

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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.