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Finding the Fourth Proportional to 408,794.66, 564,131.12 and 227,506.54

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Solution

The fourth proportional to 408,794.66, 564,131.12 and 227,506.54 is: 313,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,794.66 : 564,131.12 = 227,506.54 : x
  2. Step 2: Convert to fraction form
    408,794.66/564,131.12 = 227,506.54/x
  3. Step 3: Cross multiply
    408,794.66x = 564,131.12 × 227,506.54
  4. Step 4: Simplify right side
    408,794.66x = 128,343,519,007.13
  5. Step 5: Solve for x
    x = 128,343,519,007.13/408,794.66
  6. Step 6: Final answer
    x = 313,955.96

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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.