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Finding the Fourth Proportional to 393,878.46, 543,553.83 and 224,108.94

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Solution

The fourth proportional to 393,878.46, 543,553.83 and 224,108.94 is: 309,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,878.46 : 543,553.83 = 224,108.94 : x
  2. Step 2: Convert to fraction form
    393,878.46/543,553.83 = 224,108.94/x
  3. Step 3: Cross multiply
    393,878.46x = 543,553.83 × 224,108.94
  4. Step 4: Simplify right side
    393,878.46x = 121,815,272,674.24
  5. Step 5: Solve for x
    x = 121,815,272,674.24/393,878.46
  6. Step 6: Final answer
    x = 309,271.22

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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.