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Finding the Fourth Proportional to 290,782.60, 401,277.78 and 161,722.20

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Solution

The fourth proportional to 290,782.60, 401,277.78 and 161,722.20 is: 223,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,782.60 : 401,277.78 = 161,722.20 : x
  2. Step 2: Convert to fraction form
    290,782.60/401,277.78 = 161,722.20/x
  3. Step 3: Cross multiply
    290,782.60x = 401,277.78 × 161,722.20
  4. Step 4: Simplify right side
    290,782.60x = 64,895,525,392.72
  5. Step 5: Solve for x
    x = 64,895,525,392.72/290,782.60
  6. Step 6: Final answer
    x = 223,175.41

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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.