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Finding the Fourth Proportional to 542,852.80, 814,279.20 and 262,916.80

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Solution

The fourth proportional to 542,852.80, 814,279.20 and 262,916.80 is: 394,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,852.80 : 814,279.20 = 262,916.80 : x
  2. Step 2: Convert to fraction form
    542,852.80/814,279.20 = 262,916.80/x
  3. Step 3: Cross multiply
    542,852.80x = 814,279.20 × 262,916.80
  4. Step 4: Simplify right side
    542,852.80x = 214,087,681,570.56
  5. Step 5: Solve for x
    x = 214,087,681,570.56/542,852.80
  6. Step 6: Final answer
    x = 394,375.20

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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.