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Finding the Fourth Proportional to 376,564, 519,704.40 and 217,588

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Solution

The fourth proportional to 376,564, 519,704.40 and 217,588 is: 300,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,564 : 519,704.40 = 217,588 : x
  2. Step 2: Convert to fraction form
    376,564/519,704.40 = 217,588/x
  3. Step 3: Cross multiply
    376,564x = 519,704.40 × 217,588
  4. Step 4: Simplify right side
    376,564x = 113,081,440,987.20
  5. Step 5: Solve for x
    x = 113,081,440,987.20/376,564
  6. Step 6: Final answer
    x = 300,298.07

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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.