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Finding the Fourth Proportional to 408,279.08, 563,443.82 and 227,009.58

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Solution

The fourth proportional to 408,279.08, 563,443.82 and 227,009.58 is: 313,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,279.08 : 563,443.82 = 227,009.58 : x
  2. Step 2: Convert to fraction form
    408,279.08/563,443.82 = 227,009.58/x
  3. Step 3: Cross multiply
    408,279.08x = 563,443.82 × 227,009.58
  4. Step 4: Simplify right side
    408,279.08x = 127,907,144,931.80
  5. Step 5: Solve for x
    x = 127,907,144,931.80/408,279.08
  6. Step 6: Final answer
    x = 313,283.61

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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.