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Finding the Fourth Proportional to 408,456.74, 563,665.29 and 229,608.74

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Solution

The fourth proportional to 408,456.74, 563,665.29 and 229,608.74 is: 316,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,456.74 : 563,665.29 = 229,608.74 : x
  2. Step 2: Convert to fraction form
    408,456.74/563,665.29 = 229,608.74/x
  3. Step 3: Cross multiply
    408,456.74x = 563,665.29 × 229,608.74
  4. Step 4: Simplify right side
    408,456.74x = 129,422,477,018.64
  5. Step 5: Solve for x
    x = 129,422,477,018.64/408,456.74
  6. Step 6: Final answer
    x = 316,857.24

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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.