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Finding the Fourth Proportional to 290,287.44, 400,640.40 and 177,175.92

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Solution

The fourth proportional to 290,287.44, 400,640.40 and 177,175.92 is: 244,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,287.44 : 400,640.40 = 177,175.92 : x
  2. Step 2: Convert to fraction form
    290,287.44/400,640.40 = 177,175.92/x
  3. Step 3: Cross multiply
    290,287.44x = 400,640.40 × 177,175.92
  4. Step 4: Simplify right side
    290,287.44x = 70,983,831,459.17
  5. Step 5: Solve for x
    x = 70,983,831,459.17/290,287.44
  6. Step 6: Final answer
    x = 244,529.46

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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.