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Finding the Fourth Proportional to 401,640.80, 602,040.84 and 135,309.29

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Solution

The fourth proportional to 401,640.80, 602,040.84 and 135,309.29 is: 202,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,640.80 : 602,040.84 = 135,309.29 : x
  2. Step 2: Convert to fraction form
    401,640.80/602,040.84 = 135,309.29/x
  3. Step 3: Cross multiply
    401,640.80x = 602,040.84 × 135,309.29
  4. Step 4: Simplify right side
    401,640.80x = 81,461,715,093.79
  5. Step 5: Solve for x
    x = 81,461,715,093.79/401,640.80
  6. Step 6: Final answer
    x = 202,822.31

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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.