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Finding the Fourth Proportional to 303,738.46, 419,157.08 and 167,781.17

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Solution

The fourth proportional to 303,738.46, 419,157.08 and 167,781.17 is: 231,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,738.46 : 419,157.08 = 167,781.17 : x
  2. Step 2: Convert to fraction form
    303,738.46/419,157.08 = 167,781.17/x
  3. Step 3: Cross multiply
    303,738.46x = 419,157.08 × 167,781.17
  4. Step 4: Simplify right side
    303,738.46x = 70,326,666,134.35
  5. Step 5: Solve for x
    x = 70,326,666,134.35/303,738.46
  6. Step 6: Final answer
    x = 231,536.92

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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.