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Finding the Fourth Proportional to 290,472.35, 400,843.78 and 161,407.49

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Solution

The fourth proportional to 290,472.35, 400,843.78 and 161,407.49 is: 222,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,472.35 : 400,843.78 = 161,407.49 : x
  2. Step 2: Convert to fraction form
    290,472.35/400,843.78 = 161,407.49/x
  3. Step 3: Cross multiply
    290,472.35x = 400,843.78 × 161,407.49
  4. Step 4: Simplify right side
    290,472.35x = 64,699,186,004.17
  5. Step 5: Solve for x
    x = 64,699,186,004.17/290,472.35
  6. Step 6: Final answer
    x = 222,737.85

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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.