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Finding the Fourth Proportional to 338,357.82, 507,497.21 and 135,945.77

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Solution

The fourth proportional to 338,357.82, 507,497.21 and 135,945.77 is: 203,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,357.82 : 507,497.21 = 135,945.77 : x
  2. Step 2: Convert to fraction form
    338,357.82/507,497.21 = 135,945.77/x
  3. Step 3: Cross multiply
    338,357.82x = 507,497.21 × 135,945.77
  4. Step 4: Simplify right side
    338,357.82x = 68,992,095,769.09
  5. Step 5: Solve for x
    x = 68,992,095,769.09/338,357.82
  6. Step 6: Final answer
    x = 203,902.77

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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.