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Finding the Fourth Proportional to 527,083.56, 727,374.27 and 285,366.09

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Solution

The fourth proportional to 527,083.56, 727,374.27 and 285,366.09 is: 393,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,083.56 : 727,374.27 = 285,366.09 : x
  2. Step 2: Convert to fraction form
    527,083.56/727,374.27 = 285,366.09/x
  3. Step 3: Cross multiply
    527,083.56x = 727,374.27 × 285,366.09
  4. Step 4: Simplify right side
    527,083.56x = 207,567,951,396.50
  5. Step 5: Solve for x
    x = 207,567,951,396.50/527,083.56
  6. Step 6: Final answer
    x = 393,804.64

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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.