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Finding the Fourth Proportional to 351,968.94, 485,714.21 and 199,037.16

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Solution

The fourth proportional to 351,968.94, 485,714.21 and 199,037.16 is: 274,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,968.94 : 485,714.21 = 199,037.16 : x
  2. Step 2: Convert to fraction form
    351,968.94/485,714.21 = 199,037.16/x
  3. Step 3: Cross multiply
    351,968.94x = 485,714.21 × 199,037.16
  4. Step 4: Simplify right side
    351,968.94x = 96,675,175,934.86
  5. Step 5: Solve for x
    x = 96,675,175,934.86/351,968.94
  6. Step 6: Final answer
    x = 274,669.62

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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.