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Finding the Fourth Proportional to 287,682, 397,171.25 and 255,762.54

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Solution

The fourth proportional to 287,682, 397,171.25 and 255,762.54 is: 353,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,682 : 397,171.25 = 255,762.54 : x
  2. Step 2: Convert to fraction form
    287,682/397,171.25 = 255,762.54/x
  3. Step 3: Cross multiply
    287,682x = 397,171.25 × 255,762.54
  4. Step 4: Simplify right side
    287,682x = 101,581,527,714.98
  5. Step 5: Solve for x
    x = 101,581,527,714.98/287,682
  6. Step 6: Final answer
    x = 353,103.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.