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Finding the Fourth Proportional to 376,565, 519,705.78 and 217,589

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Solution

The fourth proportional to 376,565, 519,705.78 and 217,589 is: 300,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,565 : 519,705.78 = 217,589 : x
  2. Step 2: Convert to fraction form
    376,565/519,705.78 = 217,589/x
  3. Step 3: Cross multiply
    376,565x = 519,705.78 × 217,589
  4. Step 4: Simplify right side
    376,565x = 113,082,260,964.42
  5. Step 5: Solve for x
    x = 113,082,260,964.42/376,565
  6. Step 6: Final answer
    x = 300,299.45

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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.