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Finding the Fourth Proportional to 290,794, 401,302.20 and 177,679.12

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Solution

The fourth proportional to 290,794, 401,302.20 and 177,679.12 is: 245,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,794 : 401,302.20 = 177,679.12 : x
  2. Step 2: Convert to fraction form
    290,794/401,302.20 = 177,679.12/x
  3. Step 3: Cross multiply
    290,794x = 401,302.20 × 177,679.12
  4. Step 4: Simplify right side
    290,794x = 71,303,021,750.06
  5. Step 5: Solve for x
    x = 71,303,021,750.06/290,794
  6. Step 6: Final answer
    x = 245,201.14

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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.