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Finding the Fourth Proportional to 260,412.52, 390,489.54 and 82,896.44

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Solution

The fourth proportional to 260,412.52, 390,489.54 and 82,896.44 is: 124,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,412.52 : 390,489.54 = 82,896.44 : x
  2. Step 2: Convert to fraction form
    260,412.52/390,489.54 = 82,896.44/x
  3. Step 3: Cross multiply
    260,412.52x = 390,489.54 × 82,896.44
  4. Step 4: Simplify right side
    260,412.52x = 32,370,192,723.24
  5. Step 5: Solve for x
    x = 32,370,192,723.24/260,412.52
  6. Step 6: Final answer
    x = 124,303.52

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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.