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Finding the Fourth Proportional to 290,697.62, 401,195.96 and 161,648.96

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Solution

The fourth proportional to 290,697.62, 401,195.96 and 161,648.96 is: 223,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,697.62 : 401,195.96 = 161,648.96 : x
  2. Step 2: Convert to fraction form
    290,697.62/401,195.96 = 161,648.96/x
  3. Step 3: Cross multiply
    290,697.62x = 401,195.96 × 161,648.96
  4. Step 4: Simplify right side
    290,697.62x = 64,852,909,690.20
  5. Step 5: Solve for x
    x = 64,852,909,690.20/290,697.62
  6. Step 6: Final answer
    x = 223,094.05

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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.