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Finding the Fourth Proportional to 260,576.68, 390,922.41 and 148,309.75

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Solution

The fourth proportional to 260,576.68, 390,922.41 and 148,309.75 is: 222,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,576.68 : 390,922.41 = 148,309.75 : x
  2. Step 2: Convert to fraction form
    260,576.68/390,922.41 = 148,309.75/x
  3. Step 3: Cross multiply
    260,576.68x = 390,922.41 × 148,309.75
  4. Step 4: Simplify right side
    260,576.68x = 57,977,604,896.50
  5. Step 5: Solve for x
    x = 57,977,604,896.50/260,576.68
  6. Step 6: Final answer
    x = 222,497.29

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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.