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Finding the Fourth Proportional to 279,408.31, 385,572.76 and 158,542.38

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Solution

The fourth proportional to 279,408.31, 385,572.76 and 158,542.38 is: 218,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,408.31 : 385,572.76 = 158,542.38 : x
  2. Step 2: Convert to fraction form
    279,408.31/385,572.76 = 158,542.38/x
  3. Step 3: Cross multiply
    279,408.31x = 385,572.76 × 158,542.38
  4. Step 4: Simplify right side
    279,408.31x = 61,129,622,637.21
  5. Step 5: Solve for x
    x = 61,129,622,637.21/279,408.31
  6. Step 6: Final answer
    x = 218,782.41

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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.