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Finding the Fourth Proportional to 303,409.95, 418,715.79 and 165,596.41

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Solution

The fourth proportional to 303,409.95, 418,715.79 and 165,596.41 is: 228,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,409.95 : 418,715.79 = 165,596.41 : x
  2. Step 2: Convert to fraction form
    303,409.95/418,715.79 = 165,596.41/x
  3. Step 3: Cross multiply
    303,409.95x = 418,715.79 × 165,596.41
  4. Step 4: Simplify right side
    303,409.95x = 69,337,831,634.31
  5. Step 5: Solve for x
    x = 69,337,831,634.31/303,409.95
  6. Step 6: Final answer
    x = 228,528.54

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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.