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Finding the Fourth Proportional to 290,958.40, 401,462.42 and 170,076.30

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Solution

The fourth proportional to 290,958.40, 401,462.42 and 170,076.30 is: 234,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,958.40 : 401,462.42 = 170,076.30 : x
  2. Step 2: Convert to fraction form
    290,958.40/401,462.42 = 170,076.30/x
  3. Step 3: Cross multiply
    290,958.40x = 401,462.42 × 170,076.30
  4. Step 4: Simplify right side
    290,958.40x = 68,279,242,982.65
  5. Step 5: Solve for x
    x = 68,279,242,982.65/290,958.40
  6. Step 6: Final answer
    x = 234,670.12

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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.