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Finding the Fourth Proportional to 389,778.56, 537,998.40 and 220,112

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Solution

The fourth proportional to 389,778.56, 537,998.40 and 220,112 is: 303,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,778.56 : 537,998.40 = 220,112 : x
  2. Step 2: Convert to fraction form
    389,778.56/537,998.40 = 220,112/x
  3. Step 3: Cross multiply
    389,778.56x = 537,998.40 × 220,112
  4. Step 4: Simplify right side
    389,778.56x = 118,419,903,820.80
  5. Step 5: Solve for x
    x = 118,419,903,820.80/389,778.56
  6. Step 6: Final answer
    x = 303,813.28

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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.