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Finding the Fourth Proportional to 274,872.86, 411,835.92 and 214,878

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Solution

The fourth proportional to 274,872.86, 411,835.92 and 214,878 is: 321,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,872.86 : 411,835.92 = 214,878 : x
  2. Step 2: Convert to fraction form
    274,872.86/411,835.92 = 214,878/x
  3. Step 3: Cross multiply
    274,872.86x = 411,835.92 × 214,878
  4. Step 4: Simplify right side
    274,872.86x = 88,494,478,817.76
  5. Step 5: Solve for x
    x = 88,494,478,817.76/274,872.86
  6. Step 6: Final answer
    x = 321,946.95

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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.