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Finding the Fourth Proportional to 527,556.52, 728,028.90 and 285,839.08

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Solution

The fourth proportional to 527,556.52, 728,028.90 and 285,839.08 is: 394,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,556.52 : 728,028.90 = 285,839.08 : x
  2. Step 2: Convert to fraction form
    527,556.52/728,028.90 = 285,839.08/x
  3. Step 3: Cross multiply
    527,556.52x = 728,028.90 × 285,839.08
  4. Step 4: Simplify right side
    527,556.52x = 208,099,110,989.41
  5. Step 5: Solve for x
    x = 208,099,110,989.41/527,556.52
  6. Step 6: Final answer
    x = 394,458.42

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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.