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Finding the Fourth Proportional to 409,905.20, 614,281.80 and 325,809.20

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Solution

The fourth proportional to 409,905.20, 614,281.80 and 325,809.20 is: 488,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,905.20 : 614,281.80 = 325,809.20 : x
  2. Step 2: Convert to fraction form
    409,905.20/614,281.80 = 325,809.20/x
  3. Step 3: Cross multiply
    409,905.20x = 614,281.80 × 325,809.20
  4. Step 4: Simplify right side
    409,905.20x = 200,138,661,832.56
  5. Step 5: Solve for x
    x = 200,138,661,832.56/409,905.20
  6. Step 6: Final answer
    x = 488,255.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.