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Finding the Fourth Proportional to 260,576.29, 390,860.31 and 83,082.10

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Solution

The fourth proportional to 260,576.29, 390,860.31 and 83,082.10 is: 124,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,576.29 : 390,860.31 = 83,082.10 : x
  2. Step 2: Convert to fraction form
    260,576.29/390,860.31 = 83,082.10/x
  3. Step 3: Cross multiply
    260,576.29x = 390,860.31 × 83,082.10
  4. Step 4: Simplify right side
    260,576.29x = 32,473,493,407.15
  5. Step 5: Solve for x
    x = 32,473,493,407.15/260,576.29
  6. Step 6: Final answer
    x = 124,621.83

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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.