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Finding the Fourth Proportional to 290,820.66, 401,326.74 and 161,756.36

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Solution

The fourth proportional to 290,820.66, 401,326.74 and 161,756.36 is: 223,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,820.66 : 401,326.74 = 161,756.36 : x
  2. Step 2: Convert to fraction form
    290,820.66/401,326.74 = 161,756.36/x
  3. Step 3: Cross multiply
    290,820.66x = 401,326.74 × 161,756.36
  4. Step 4: Simplify right side
    290,820.66x = 64,917,150,626.43
  5. Step 5: Solve for x
    x = 64,917,150,626.43/290,820.66
  6. Step 6: Final answer
    x = 223,220.56

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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.