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Finding the Fourth Proportional to 401,633.76, 602,067.76 and 135,257.20

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Solution

The fourth proportional to 401,633.76, 602,067.76 and 135,257.20 is: 202,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,633.76 : 602,067.76 = 135,257.20 : x
  2. Step 2: Convert to fraction form
    401,633.76/602,067.76 = 135,257.20/x
  3. Step 3: Cross multiply
    401,633.76x = 602,067.76 × 135,257.20
  4. Step 4: Simplify right side
    401,633.76x = 81,433,999,427.87
  5. Step 5: Solve for x
    x = 81,433,999,427.87/401,633.76
  6. Step 6: Final answer
    x = 202,756.86

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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.