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Finding the Fourth Proportional to 409,086.21, 564,578.21 and 227,798.09

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Solution

The fourth proportional to 409,086.21, 564,578.21 and 227,798.09 is: 314,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,086.21 : 564,578.21 = 227,798.09 : x
  2. Step 2: Convert to fraction form
    409,086.21/564,578.21 = 227,798.09/x
  3. Step 3: Cross multiply
    409,086.21x = 564,578.21 × 227,798.09
  4. Step 4: Simplify right side
    409,086.21x = 128,609,833,931.74
  5. Step 5: Solve for x
    x = 128,609,833,931.74/409,086.21
  6. Step 6: Final answer
    x = 314,383.21

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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.