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Finding the Fourth Proportional to 257,028.84, 354,657.62 and 161,467.88

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Solution

The fourth proportional to 257,028.84, 354,657.62 and 161,467.88 is: 222,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,028.84 : 354,657.62 = 161,467.88 : x
  2. Step 2: Convert to fraction form
    257,028.84/354,657.62 = 161,467.88/x
  3. Step 3: Cross multiply
    257,028.84x = 354,657.62 × 161,467.88
  4. Step 4: Simplify right side
    257,028.84x = 57,265,814,027.25
  5. Step 5: Solve for x
    x = 57,265,814,027.25/257,028.84
  6. Step 6: Final answer
    x = 222,799.18

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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.