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Finding the Fourth Proportional to 408,279.21, 563,444 and 227,009.71

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Solution

The fourth proportional to 408,279.21, 563,444 and 227,009.71 is: 313,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,279.21 : 563,444 = 227,009.71 : x
  2. Step 2: Convert to fraction form
    408,279.21/563,444 = 227,009.71/x
  3. Step 3: Cross multiply
    408,279.21x = 563,444 × 227,009.71
  4. Step 4: Simplify right side
    408,279.21x = 127,907,259,041.24
  5. Step 5: Solve for x
    x = 127,907,259,041.24/408,279.21
  6. Step 6: Final answer
    x = 313,283.79

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1.5x scale

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.