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Finding the Fourth Proportional to 281,388, 422,082 and 84,396

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Solution

The fourth proportional to 281,388, 422,082 and 84,396 is: 126,594

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,388 : 422,082 = 84,396 : x
  2. Step 2: Convert to fraction form
    281,388/422,082 = 84,396/x
  3. Step 3: Cross multiply
    281,388x = 422,082 × 84,396
  4. Step 4: Simplify right side
    281,388x = 35,622,032,472
  5. Step 5: Solve for x
    x = 35,622,032,472/281,388
  6. Step 6: Final answer
    x = 126,594

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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.