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Finding the Fourth Proportional to 351,701.44, 485,382.72 and 200,821.12

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Solution

The fourth proportional to 351,701.44, 485,382.72 and 200,821.12 is: 277,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,701.44 : 485,382.72 = 200,821.12 : x
  2. Step 2: Convert to fraction form
    351,701.44/485,382.72 = 200,821.12/x
  3. Step 3: Cross multiply
    351,701.44x = 485,382.72 × 200,821.12
  4. Step 4: Simplify right side
    351,701.44x = 97,475,101,459.05
  5. Step 5: Solve for x
    x = 97,475,101,459.05/351,701.44
  6. Step 6: Final answer
    x = 277,152.98

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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.