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Finding the Fourth Proportional to 527,568.62, 728,043.68 and 285,857.73

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Solution

The fourth proportional to 527,568.62, 728,043.68 and 285,857.73 is: 394,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,568.62 : 728,043.68 = 285,857.73 : x
  2. Step 2: Convert to fraction form
    527,568.62/728,043.68 = 285,857.73/x
  3. Step 3: Cross multiply
    527,568.62x = 728,043.68 × 285,857.73
  4. Step 4: Simplify right side
    527,568.62x = 208,116,912,276.36
  5. Step 5: Solve for x
    x = 208,116,912,276.36/527,568.62
  6. Step 6: Final answer
    x = 394,483.12

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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.