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Finding the Fourth Proportional to 383,956.94, 529,875 and 214,223.84

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Solution

The fourth proportional to 383,956.94, 529,875 and 214,223.84 is: 295,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,956.94 : 529,875 = 214,223.84 : x
  2. Step 2: Convert to fraction form
    383,956.94/529,875 = 214,223.84/x
  3. Step 3: Cross multiply
    383,956.94x = 529,875 × 214,223.84
  4. Step 4: Simplify right side
    383,956.94x = 113,511,857,220
  5. Step 5: Solve for x
    x = 113,511,857,220/383,956.94
  6. Step 6: Final answer
    x = 295,636.95

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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.