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Finding the Fourth Proportional to 260,494, 390,736.72 and 82,998.60

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Solution

The fourth proportional to 260,494, 390,736.72 and 82,998.60 is: 124,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,494 : 390,736.72 = 82,998.60 : x
  2. Step 2: Convert to fraction form
    260,494/390,736.72 = 82,998.60/x
  3. Step 3: Cross multiply
    260,494x = 390,736.72 × 82,998.60
  4. Step 4: Simplify right side
    260,494x = 32,430,600,728.59
  5. Step 5: Solve for x
    x = 32,430,600,728.59/260,494
  6. Step 6: Final answer
    x = 124,496.54

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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.