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Finding the Fourth Proportional to 260,419.05, 390,656.25 and 82,884.56

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Solution

The fourth proportional to 260,419.05, 390,656.25 and 82,884.56 is: 124,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,419.05 : 390,656.25 = 82,884.56 : x
  2. Step 2: Convert to fraction form
    260,419.05/390,656.25 = 82,884.56/x
  3. Step 3: Cross multiply
    260,419.05x = 390,656.25 × 82,884.56
  4. Step 4: Simplify right side
    260,419.05x = 32,379,369,439.22
  5. Step 5: Solve for x
    x = 32,379,369,439.22/260,419.05
  6. Step 6: Final answer
    x = 124,335.64

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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.