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Finding the Fourth Proportional to 409,725.60, 614,977.20 and 252,261.60

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Solution

The fourth proportional to 409,725.60, 614,977.20 and 252,261.60 is: 378,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,725.60 : 614,977.20 = 252,261.60 : x
  2. Step 2: Convert to fraction form
    409,725.60/614,977.20 = 252,261.60/x
  3. Step 3: Cross multiply
    409,725.60x = 614,977.20 × 252,261.60
  4. Step 4: Simplify right side
    409,725.60x = 155,135,132,435.52
  5. Step 5: Solve for x
    x = 155,135,132,435.52/409,725.60
  6. Step 6: Final answer
    x = 378,631.78

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1.5x scale

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.