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Finding the Fourth Proportional to 329,076.70, 493,615.05 and 214,915.30

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Solution

The fourth proportional to 329,076.70, 493,615.05 and 214,915.30 is: 322,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,076.70 : 493,615.05 = 214,915.30 : x
  2. Step 2: Convert to fraction form
    329,076.70/493,615.05 = 214,915.30/x
  3. Step 3: Cross multiply
    329,076.70x = 493,615.05 × 214,915.30
  4. Step 4: Simplify right side
    329,076.70x = 106,085,426,555.27
  5. Step 5: Solve for x
    x = 106,085,426,555.27/329,076.70
  6. Step 6: Final answer
    x = 322,372.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.