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Finding the Fourth Proportional to 338,843.34, 508,309.11 and 102,209.94

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Solution

The fourth proportional to 338,843.34, 508,309.11 and 102,209.94 is: 153,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,843.34 : 508,309.11 = 102,209.94 : x
  2. Step 2: Convert to fraction form
    338,843.34/508,309.11 = 102,209.94/x
  3. Step 3: Cross multiply
    338,843.34x = 508,309.11 × 102,209.94
  4. Step 4: Simplify right side
    338,843.34x = 51,954,243,634.55
  5. Step 5: Solve for x
    x = 51,954,243,634.55/338,843.34
  6. Step 6: Final answer
    x = 153,328.21

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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.