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Finding the Fourth Proportional to 409,855, 565,604.22 and 231,007

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Solution

The fourth proportional to 409,855, 565,604.22 and 231,007 is: 318,792.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,855 : 565,604.22 = 231,007 : x
  2. Step 2: Convert to fraction form
    409,855/565,604.22 = 231,007/x
  3. Step 3: Cross multiply
    409,855x = 565,604.22 × 231,007
  4. Step 4: Simplify right side
    409,855x = 130,658,534,049.54
  5. Step 5: Solve for x
    x = 130,658,534,049.54/409,855
  6. Step 6: Final answer
    x = 318,792.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.