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Finding the Fourth Proportional to 338,489.12, 507,110.89 and 212,105.81

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Solution

The fourth proportional to 338,489.12, 507,110.89 and 212,105.81 is: 317,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,489.12 : 507,110.89 = 212,105.81 : x
  2. Step 2: Convert to fraction form
    338,489.12/507,110.89 = 212,105.81/x
  3. Step 3: Cross multiply
    338,489.12x = 507,110.89 × 212,105.81
  4. Step 4: Simplify right side
    338,489.12x = 107,561,166,083.27
  5. Step 5: Solve for x
    x = 107,561,166,083.27/338,489.12
  6. Step 6: Final answer
    x = 317,768.46

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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.