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Finding the Fourth Proportional to 351,311.75, 484,875.90 and 200,408.75

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Solution

The fourth proportional to 351,311.75, 484,875.90 and 200,408.75 is: 276,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,311.75 : 484,875.90 = 200,408.75 : x
  2. Step 2: Convert to fraction form
    351,311.75/484,875.90 = 200,408.75/x
  3. Step 3: Cross multiply
    351,311.75x = 484,875.90 × 200,408.75
  4. Step 4: Simplify right side
    351,311.75x = 97,173,373,024.13
  5. Step 5: Solve for x
    x = 97,173,373,024.13/351,311.75
  6. Step 6: Final answer
    x = 276,601.55

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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.