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Finding the Fourth Proportional to 303,400, 455,100 and 81,784

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Solution

The fourth proportional to 303,400, 455,100 and 81,784 is: 122,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,400 : 455,100 = 81,784 : x
  2. Step 2: Convert to fraction form
    303,400/455,100 = 81,784/x
  3. Step 3: Cross multiply
    303,400x = 455,100 × 81,784
  4. Step 4: Simplify right side
    303,400x = 37,219,898,400
  5. Step 5: Solve for x
    x = 37,219,898,400/303,400
  6. Step 6: Final answer
    x = 122,676

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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.