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Finding the Fourth Proportional to 269,809.05, 404,681.34 and 209,897.33

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Solution

The fourth proportional to 269,809.05, 404,681.34 and 209,897.33 is: 314,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,809.05 : 404,681.34 = 209,897.33 : x
  2. Step 2: Convert to fraction form
    269,809.05/404,681.34 = 209,897.33/x
  3. Step 3: Cross multiply
    269,809.05x = 404,681.34 × 209,897.33
  4. Step 4: Simplify right side
    269,809.05x = 84,941,530,940.19
  5. Step 5: Solve for x
    x = 84,941,530,940.19/269,809.05
  6. Step 6: Final answer
    x = 314,820.91

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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.