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Finding the Fourth Proportional to 527,303.96, 727,675.82 and 285,581

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Solution

The fourth proportional to 527,303.96, 727,675.82 and 285,581 is: 394,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,303.96 : 727,675.82 = 285,581 : x
  2. Step 2: Convert to fraction form
    527,303.96/727,675.82 = 285,581/x
  3. Step 3: Cross multiply
    527,303.96x = 727,675.82 × 285,581
  4. Step 4: Simplify right side
    527,303.96x = 207,810,388,351.42
  5. Step 5: Solve for x
    x = 207,810,388,351.42/527,303.96
  6. Step 6: Final answer
    x = 394,099.81

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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.