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Finding the Fourth Proportional to 542,496.09, 813,777.92 and 143,137.28

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Solution

The fourth proportional to 542,496.09, 813,777.92 and 143,137.28 is: 214,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,496.09 : 813,777.92 = 143,137.28 : x
  2. Step 2: Convert to fraction form
    542,496.09/813,777.92 = 143,137.28/x
  3. Step 3: Cross multiply
    542,496.09x = 813,777.92 × 143,137.28
  4. Step 4: Simplify right side
    542,496.09x = 116,481,953,208.28
  5. Step 5: Solve for x
    x = 116,481,953,208.28/542,496.09
  6. Step 6: Final answer
    x = 214,714.83

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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.