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Finding the Fourth Proportional to 527,589.25, 728,073.81 and 285,871.63

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Solution

The fourth proportional to 527,589.25, 728,073.81 and 285,871.63 is: 394,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,589.25 : 728,073.81 = 285,871.63 : x
  2. Step 2: Convert to fraction form
    527,589.25/728,073.81 = 285,871.63/x
  3. Step 3: Cross multiply
    527,589.25x = 728,073.81 × 285,871.63
  4. Step 4: Simplify right side
    527,589.25x = 208,135,645,395.65
  5. Step 5: Solve for x
    x = 208,135,645,395.65/527,589.25
  6. Step 6: Final answer
    x = 394,503.20

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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.