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Finding the Fourth Proportional to 408,010, 563,106.60 and 229,162

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Solution

The fourth proportional to 408,010, 563,106.60 and 229,162 is: 316,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,010 : 563,106.60 = 229,162 : x
  2. Step 2: Convert to fraction form
    408,010/563,106.60 = 229,162/x
  3. Step 3: Cross multiply
    408,010x = 563,106.60 × 229,162
  4. Step 4: Simplify right side
    408,010x = 129,042,634,669.20
  5. Step 5: Solve for x
    x = 129,042,634,669.20/408,010
  6. Step 6: Final answer
    x = 316,273.22

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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.