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Finding the Fourth Proportional to 401,324.85, 602,079.62 and 135,078.26

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Solution

The fourth proportional to 401,324.85, 602,079.62 and 135,078.26 is: 202,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,324.85 : 602,079.62 = 135,078.26 : x
  2. Step 2: Convert to fraction form
    401,324.85/602,079.62 = 135,078.26/x
  3. Step 3: Cross multiply
    401,324.85x = 602,079.62 × 135,078.26
  4. Step 4: Simplify right side
    401,324.85x = 81,327,863,765.27
  5. Step 5: Solve for x
    x = 81,327,863,765.27/401,324.85
  6. Step 6: Final answer
    x = 202,648.46

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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.