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Finding the Fourth Proportional to 527,584.88, 728,065.92 and 285,874

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Solution

The fourth proportional to 527,584.88, 728,065.92 and 285,874 is: 394,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,584.88 : 728,065.92 = 285,874 : x
  2. Step 2: Convert to fraction form
    527,584.88/728,065.92 = 285,874/x
  3. Step 3: Cross multiply
    527,584.88x = 728,065.92 × 285,874
  4. Step 4: Simplify right side
    527,584.88x = 208,135,116,814.08
  5. Step 5: Solve for x
    x = 208,135,116,814.08/527,584.88
  6. Step 6: Final answer
    x = 394,505.46

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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.