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Finding the Fourth Proportional to 338,485.80, 507,834.81 and 203,696.94

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Solution

The fourth proportional to 338,485.80, 507,834.81 and 203,696.94 is: 305,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,485.80 : 507,834.81 = 203,696.94 : x
  2. Step 2: Convert to fraction form
    338,485.80/507,834.81 = 203,696.94/x
  3. Step 3: Cross multiply
    338,485.80x = 507,834.81 × 203,696.94
  4. Step 4: Simplify right side
    338,485.80x = 103,444,396,822.48
  5. Step 5: Solve for x
    x = 103,444,396,822.48/338,485.80
  6. Step 6: Final answer
    x = 305,609.27

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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.