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Finding the Fourth Proportional to 338,356.32, 507,494.96 and 135,944.27

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Solution

The fourth proportional to 338,356.32, 507,494.96 and 135,944.27 is: 203,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,356.32 : 507,494.96 = 135,944.27 : x
  2. Step 2: Convert to fraction form
    338,356.32/507,494.96 = 135,944.27/x
  3. Step 3: Cross multiply
    338,356.32x = 507,494.96 × 135,944.27
  4. Step 4: Simplify right side
    338,356.32x = 68,991,028,648.68
  5. Step 5: Solve for x
    x = 68,991,028,648.68/338,356.32
  6. Step 6: Final answer
    x = 203,900.52

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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.