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Finding the Fourth Proportional to 290,857.42, 401,398.50 and 163,541.22

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Solution

The fourth proportional to 290,857.42, 401,398.50 and 163,541.22 is: 225,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,857.42 : 401,398.50 = 163,541.22 : x
  2. Step 2: Convert to fraction form
    290,857.42/401,398.50 = 163,541.22/x
  3. Step 3: Cross multiply
    290,857.42x = 401,398.50 × 163,541.22
  4. Step 4: Simplify right side
    290,857.42x = 65,645,200,396.17
  5. Step 5: Solve for x
    x = 65,645,200,396.17/290,857.42
  6. Step 6: Final answer
    x = 225,695.46

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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.