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Finding the Fourth Proportional to 419,806.72, 579,348.93 and 238,549.42

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Solution

The fourth proportional to 419,806.72, 579,348.93 and 238,549.42 is: 329,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,806.72 : 579,348.93 = 238,549.42 : x
  2. Step 2: Convert to fraction form
    419,806.72/579,348.93 = 238,549.42/x
  3. Step 3: Cross multiply
    419,806.72x = 579,348.93 × 238,549.42
  4. Step 4: Simplify right side
    419,806.72x = 138,203,351,229.12
  5. Step 5: Solve for x
    x = 138,203,351,229.12/419,806.72
  6. Step 6: Final answer
    x = 329,207.10

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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.