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Finding the Fourth Proportional to 290,447.83, 400,829.06 and 161,395.88

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Solution

The fourth proportional to 290,447.83, 400,829.06 and 161,395.88 is: 222,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,447.83 : 400,829.06 = 161,395.88 : x
  2. Step 2: Convert to fraction form
    290,447.83/400,829.06 = 161,395.88/x
  3. Step 3: Cross multiply
    290,447.83x = 400,829.06 × 161,395.88
  4. Step 4: Simplify right side
    290,447.83x = 64,692,158,868.27
  5. Step 5: Solve for x
    x = 64,692,158,868.27/290,447.83
  6. Step 6: Final answer
    x = 222,732.46

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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.