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Finding the Fourth Proportional to 401,362.49, 602,135.87 and 135,115.90

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Solution

The fourth proportional to 401,362.49, 602,135.87 and 135,115.90 is: 202,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,362.49 : 602,135.87 = 135,115.90 : x
  2. Step 2: Convert to fraction form
    401,362.49/602,135.87 = 135,115.90/x
  3. Step 3: Cross multiply
    401,362.49x = 602,135.87 × 135,115.90
  4. Step 4: Simplify right side
    401,362.49x = 81,358,129,997.33
  5. Step 5: Solve for x
    x = 81,358,129,997.33/401,362.49
  6. Step 6: Final answer
    x = 202,704.87

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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.