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Finding the Fourth Proportional to 303,558.44, 418,904.09 and 165,732.65

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Solution

The fourth proportional to 303,558.44, 418,904.09 and 165,732.65 is: 228,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,558.44 : 418,904.09 = 165,732.65 : x
  2. Step 2: Convert to fraction form
    303,558.44/418,904.09 = 165,732.65/x
  3. Step 3: Cross multiply
    303,558.44x = 418,904.09 × 165,732.65
  4. Step 4: Simplify right side
    303,558.44x = 69,426,084,200.74
  5. Step 5: Solve for x
    x = 69,426,084,200.74/303,558.44
  6. Step 6: Final answer
    x = 228,707.48

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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.