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Finding the Fourth Proportional to 527,356.47, 727,751.64 and 285,638.97

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Solution

The fourth proportional to 527,356.47, 727,751.64 and 285,638.97 is: 394,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,356.47 : 727,751.64 = 285,638.97 : x
  2. Step 2: Convert to fraction form
    527,356.47/727,751.64 = 285,638.97/x
  3. Step 3: Cross multiply
    527,356.47x = 727,751.64 × 285,638.97
  4. Step 4: Simplify right side
    527,356.47x = 207,874,228,865.41
  5. Step 5: Solve for x
    x = 207,874,228,865.41/527,356.47
  6. Step 6: Final answer
    x = 394,181.62

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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.