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Finding the Fourth Proportional to 805,350, 1,208,025 and 214,374

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Solution

The fourth proportional to 805,350, 1,208,025 and 214,374 is: 321,561

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,350 : 1,208,025 = 214,374 : x
  2. Step 2: Convert to fraction form
    805,350/1,208,025 = 214,374/x
  3. Step 3: Cross multiply
    805,350x = 1,208,025 × 214,374
  4. Step 4: Simplify right side
    805,350x = 258,969,151,350
  5. Step 5: Solve for x
    x = 258,969,151,350/805,350
  6. Step 6: Final answer
    x = 321,561

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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.