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Finding the Fourth Proportional to 401,920.75, 602,893.88 and 202,131.92

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Solution

The fourth proportional to 401,920.75, 602,893.88 and 202,131.92 is: 303,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,920.75 : 602,893.88 = 202,131.92 : x
  2. Step 2: Convert to fraction form
    401,920.75/602,893.88 = 202,131.92/x
  3. Step 3: Cross multiply
    401,920.75x = 602,893.88 × 202,131.92
  4. Step 4: Simplify right side
    401,920.75x = 121,864,093,495.52
  5. Step 5: Solve for x
    x = 121,864,093,495.52/401,920.75
  6. Step 6: Final answer
    x = 303,204.29

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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.