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Finding the Fourth Proportional to 301,456, 416,010.90 and 188,344.36

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Solution

The fourth proportional to 301,456, 416,010.90 and 188,344.36 is: 259,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,456 : 416,010.90 = 188,344.36 : x
  2. Step 2: Convert to fraction form
    301,456/416,010.90 = 188,344.36/x
  3. Step 3: Cross multiply
    301,456x = 416,010.90 × 188,344.36
  4. Step 4: Simplify right side
    301,456x = 78,353,306,713.52
  5. Step 5: Solve for x
    x = 78,353,306,713.52/301,456
  6. Step 6: Final answer
    x = 259,916.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.