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Finding the Fourth Proportional to 409,131.18, 564,592.21 and 225,374.88

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Solution

The fourth proportional to 409,131.18, 564,592.21 and 225,374.88 is: 311,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,131.18 : 564,592.21 = 225,374.88 : x
  2. Step 2: Convert to fraction form
    409,131.18/564,592.21 = 225,374.88/x
  3. Step 3: Cross multiply
    409,131.18x = 564,592.21 × 225,374.88
  4. Step 4: Simplify right side
    409,131.18x = 127,244,903,131.47
  5. Step 5: Solve for x
    x = 127,244,903,131.47/409,131.18
  6. Step 6: Final answer
    x = 311,012.48

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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.