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Finding the Fourth Proportional to 290,223.98, 400,495.63 and 161,170.65

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Solution

The fourth proportional to 290,223.98, 400,495.63 and 161,170.65 is: 222,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,223.98 : 400,495.63 = 161,170.65 : x
  2. Step 2: Convert to fraction form
    290,223.98/400,495.63 = 161,170.65/x
  3. Step 3: Cross multiply
    290,223.98x = 400,495.63 × 161,170.65
  4. Step 4: Simplify right side
    290,223.98x = 64,548,138,200.93
  5. Step 5: Solve for x
    x = 64,548,138,200.93/290,223.98
  6. Step 6: Final answer
    x = 222,408.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.