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Finding the Fourth Proportional to 401,353.26, 602,118.63 and 135,105

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Solution

The fourth proportional to 401,353.26, 602,118.63 and 135,105 is: 202,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,353.26 : 602,118.63 = 135,105 : x
  2. Step 2: Convert to fraction form
    401,353.26/602,118.63 = 135,105/x
  3. Step 3: Cross multiply
    401,353.26x = 602,118.63 × 135,105
  4. Step 4: Simplify right side
    401,353.26x = 81,349,237,506.15
  5. Step 5: Solve for x
    x = 81,349,237,506.15/401,353.26
  6. Step 6: Final answer
    x = 202,687.37

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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.