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Finding the Fourth Proportional to 458,102.80, 687,672.60 and 271,219.60

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Solution

The fourth proportional to 458,102.80, 687,672.60 and 271,219.60 is: 407,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,102.80 : 687,672.60 = 271,219.60 : x
  2. Step 2: Convert to fraction form
    458,102.80/687,672.60 = 271,219.60/x
  3. Step 3: Cross multiply
    458,102.80x = 687,672.60 × 271,219.60
  4. Step 4: Simplify right side
    458,102.80x = 186,510,287,502.96
  5. Step 5: Solve for x
    x = 186,510,287,502.96/458,102.80
  6. Step 6: Final answer
    x = 407,136.32

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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.