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Finding the Fourth Proportional to 456,027.60, 682,073.10 and 385,168.80

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Solution

The fourth proportional to 456,027.60, 682,073.10 and 385,168.80 is: 576,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,027.60 : 682,073.10 = 385,168.80 : x
  2. Step 2: Convert to fraction form
    456,027.60/682,073.10 = 385,168.80/x
  3. Step 3: Cross multiply
    456,027.60x = 682,073.10 × 385,168.80
  4. Step 4: Simplify right side
    456,027.60x = 262,713,277,439.28
  5. Step 5: Solve for x
    x = 262,713,277,439.28/456,027.60
  6. Step 6: Final answer
    x = 576,090.74

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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.