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Finding the Fourth Proportional to 260,406.48, 389,972.72 and 235,163

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Solution

The fourth proportional to 260,406.48, 389,972.72 and 235,163 is: 352,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,406.48 : 389,972.72 = 235,163 : x
  2. Step 2: Convert to fraction form
    260,406.48/389,972.72 = 235,163/x
  3. Step 3: Cross multiply
    260,406.48x = 389,972.72 × 235,163
  4. Step 4: Simplify right side
    260,406.48x = 91,707,154,753.36
  5. Step 5: Solve for x
    x = 91,707,154,753.36/260,406.48
  6. Step 6: Final answer
    x = 352,169.25

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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.