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Finding the Fourth Proportional to 400,711.92, 552,989.25 and 219,420.96

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Solution

The fourth proportional to 400,711.92, 552,989.25 and 219,420.96 is: 302,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,711.92 : 552,989.25 = 219,420.96 : x
  2. Step 2: Convert to fraction form
    400,711.92/552,989.25 = 219,420.96/x
  3. Step 3: Cross multiply
    400,711.92x = 552,989.25 × 219,420.96
  4. Step 4: Simplify right side
    400,711.92x = 121,337,432,104.68
  5. Step 5: Solve for x
    x = 121,337,432,104.68/400,711.92
  6. Step 6: Final answer
    x = 302,804.65

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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.