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Finding the Fourth Proportional to 389,893.06, 537,991.68 and 220,123.54

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Solution

The fourth proportional to 389,893.06, 537,991.68 and 220,123.54 is: 303,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,893.06 : 537,991.68 = 220,123.54 : x
  2. Step 2: Convert to fraction form
    389,893.06/537,991.68 = 220,123.54/x
  3. Step 3: Cross multiply
    389,893.06x = 537,991.68 × 220,123.54
  4. Step 4: Simplify right side
    389,893.06x = 118,424,633,092.15
  5. Step 5: Solve for x
    x = 118,424,633,092.15/389,893.06
  6. Step 6: Final answer
    x = 303,736.19

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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.