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Finding the Fourth Proportional to 338,402.29, 507,558.87 and 161,022.01

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Solution

The fourth proportional to 338,402.29, 507,558.87 and 161,022.01 is: 241,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,402.29 : 507,558.87 = 161,022.01 : x
  2. Step 2: Convert to fraction form
    338,402.29/507,558.87 = 161,022.01/x
  3. Step 3: Cross multiply
    338,402.29x = 507,558.87 × 161,022.01
  4. Step 4: Simplify right side
    338,402.29x = 81,728,149,440.73
  5. Step 5: Solve for x
    x = 81,728,149,440.73/338,402.29
  6. Step 6: Final answer
    x = 241,511.81

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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.