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Finding the Fourth Proportional to 409,294.98, 613,912.48 and 128,892.42

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Solution

The fourth proportional to 409,294.98, 613,912.48 and 128,892.42 is: 193,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,294.98 : 613,912.48 = 128,892.42 : x
  2. Step 2: Convert to fraction form
    409,294.98/613,912.48 = 128,892.42/x
  3. Step 3: Cross multiply
    409,294.98x = 613,912.48 × 128,892.42
  4. Step 4: Simplify right side
    409,294.98x = 79,128,665,215.40
  5. Step 5: Solve for x
    x = 79,128,665,215.40/409,294.98
  6. Step 6: Final answer
    x = 193,329.19

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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.