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Finding the Fourth Proportional to 409,147.89, 613,869.66 and 209,562.27

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Solution

The fourth proportional to 409,147.89, 613,869.66 and 209,562.27 is: 314,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,147.89 : 613,869.66 = 209,562.27 : x
  2. Step 2: Convert to fraction form
    409,147.89/613,869.66 = 209,562.27/x
  3. Step 3: Cross multiply
    409,147.89x = 613,869.66 × 209,562.27
  4. Step 4: Simplify right side
    409,147.89x = 128,643,919,433.73
  5. Step 5: Solve for x
    x = 128,643,919,433.73/409,147.89
  6. Step 6: Final answer
    x = 314,419.12

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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.