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Finding the Fourth Proportional to 290,616.12, 401,039.10 and 163,297.08

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Solution

The fourth proportional to 290,616.12, 401,039.10 and 163,297.08 is: 225,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,616.12 : 401,039.10 = 163,297.08 : x
  2. Step 2: Convert to fraction form
    290,616.12/401,039.10 = 163,297.08/x
  3. Step 3: Cross multiply
    290,616.12x = 401,039.10 × 163,297.08
  4. Step 4: Simplify right side
    290,616.12x = 65,488,513,995.83
  5. Step 5: Solve for x
    x = 65,488,513,995.83/290,616.12
  6. Step 6: Final answer
    x = 225,343.71

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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.