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Finding the Fourth Proportional to 409,625.60, 614,827.20 and 252,161.60

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Solution

The fourth proportional to 409,625.60, 614,827.20 and 252,161.60 is: 378,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,625.60 : 614,827.20 = 252,161.60 : x
  2. Step 2: Convert to fraction form
    409,625.60/614,827.20 = 252,161.60/x
  3. Step 3: Cross multiply
    409,625.60x = 614,827.20 × 252,161.60
  4. Step 4: Simplify right side
    409,625.60x = 155,035,810,475.52
  5. Step 5: Solve for x
    x = 155,035,810,475.52/409,625.60
  6. Step 6: Final answer
    x = 378,481.74

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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.