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Finding the Fourth Proportional to 401,429.22, 602,143.83 and 135,167.44

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Solution

The fourth proportional to 401,429.22, 602,143.83 and 135,167.44 is: 202,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,429.22 : 602,143.83 = 135,167.44 : x
  2. Step 2: Convert to fraction form
    401,429.22/602,143.83 = 135,167.44/x
  3. Step 3: Cross multiply
    401,429.22x = 602,143.83 × 135,167.44
  4. Step 4: Simplify right side
    401,429.22x = 81,390,240,012.90
  5. Step 5: Solve for x
    x = 81,390,240,012.90/401,429.22
  6. Step 6: Final answer
    x = 202,751.16

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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.