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Finding the Fourth Proportional to 527,540.72, 728,006.28 and 285,824.88

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Solution

The fourth proportional to 527,540.72, 728,006.28 and 285,824.88 is: 394,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,540.72 : 728,006.28 = 285,824.88 : x
  2. Step 2: Convert to fraction form
    527,540.72/728,006.28 = 285,824.88/x
  3. Step 3: Cross multiply
    527,540.72x = 728,006.28 × 285,824.88
  4. Step 4: Simplify right side
    527,540.72x = 208,082,307,620.25
  5. Step 5: Solve for x
    x = 208,082,307,620.25/527,540.72
  6. Step 6: Final answer
    x = 394,438.38

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1.5x scale

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.