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Finding the Fourth Proportional to 290,792.10, 401,290.86 and 161,731.74

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Solution

The fourth proportional to 290,792.10, 401,290.86 and 161,731.74 is: 223,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,792.10 : 401,290.86 = 161,731.74 : x
  2. Step 2: Convert to fraction form
    290,792.10/401,290.86 = 161,731.74/x
  3. Step 3: Cross multiply
    290,792.10x = 401,290.86 × 161,731.74
  4. Step 4: Simplify right side
    290,792.10x = 64,901,469,033.90
  5. Step 5: Solve for x
    x = 64,901,469,033.90/290,792.10
  6. Step 6: Final answer
    x = 223,188.56

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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.