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Finding the Fourth Proportional to 401,383.58, 601,653.92 and 135,051.64

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Solution

The fourth proportional to 401,383.58, 601,653.92 and 135,051.64 is: 202,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,383.58 : 601,653.92 = 135,051.64 : x
  2. Step 2: Convert to fraction form
    401,383.58/601,653.92 = 135,051.64/x
  3. Step 3: Cross multiply
    401,383.58x = 601,653.92 × 135,051.64
  4. Step 4: Simplify right side
    401,383.58x = 81,254,348,608.43
  5. Step 5: Solve for x
    x = 81,254,348,608.43/401,383.58
  6. Step 6: Final answer
    x = 202,435.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.