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Finding the Fourth Proportional to 527,650.71, 728,171.29 and 323,814.21

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Solution

The fourth proportional to 527,650.71, 728,171.29 and 323,814.21 is: 446,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,650.71 : 728,171.29 = 323,814.21 : x
  2. Step 2: Convert to fraction form
    527,650.71/728,171.29 = 323,814.21/x
  3. Step 3: Cross multiply
    527,650.71x = 728,171.29 × 323,814.21
  4. Step 4: Simplify right side
    527,650.71x = 235,792,211,016.03
  5. Step 5: Solve for x
    x = 235,792,211,016.03/527,650.71
  6. Step 6: Final answer
    x = 446,871.78

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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.