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Finding the Fourth Proportional to 405,745.14, 608,649.40 and 135,874.30

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Solution

The fourth proportional to 405,745.14, 608,649.40 and 135,874.30 is: 203,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,745.14 : 608,649.40 = 135,874.30 : x
  2. Step 2: Convert to fraction form
    405,745.14/608,649.40 = 135,874.30/x
  3. Step 3: Cross multiply
    405,745.14x = 608,649.40 × 135,874.30
  4. Step 4: Simplify right side
    405,745.14x = 82,699,811,170.42
  5. Step 5: Solve for x
    x = 82,699,811,170.42/405,745.14
  6. Step 6: Final answer
    x = 203,822.06

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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.