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Finding the Fourth Proportional to 290,657.40, 401,103.60 and 163,354.56

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Solution

The fourth proportional to 290,657.40, 401,103.60 and 163,354.56 is: 225,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,657.40 : 401,103.60 = 163,354.56 : x
  2. Step 2: Convert to fraction form
    290,657.40/401,103.60 = 163,354.56/x
  3. Step 3: Cross multiply
    290,657.40x = 401,103.60 × 163,354.56
  4. Step 4: Simplify right side
    290,657.40x = 65,522,102,092.42
  5. Step 5: Solve for x
    x = 65,522,102,092.42/290,657.40
  6. Step 6: Final answer
    x = 225,427.26

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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.