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Finding the Fourth Proportional to 376,704, 519,897.60 and 217,728

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Solution

The fourth proportional to 376,704, 519,897.60 and 217,728 is: 300,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,704 : 519,897.60 = 217,728 : x
  2. Step 2: Convert to fraction form
    376,704/519,897.60 = 217,728/x
  3. Step 3: Cross multiply
    376,704x = 519,897.60 × 217,728
  4. Step 4: Simplify right side
    376,704x = 113,196,264,652.80
  5. Step 5: Solve for x
    x = 113,196,264,652.80/376,704
  6. Step 6: Final answer
    x = 300,491.27

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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.