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Finding the Fourth Proportional to 281,754.74, 422,409.75 and 139,648.95

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Solution

The fourth proportional to 281,754.74, 422,409.75 and 139,648.95 is: 209,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,754.74 : 422,409.75 = 139,648.95 : x
  2. Step 2: Convert to fraction form
    281,754.74/422,409.75 = 139,648.95/x
  3. Step 3: Cross multiply
    281,754.74x = 422,409.75 × 139,648.95
  4. Step 4: Simplify right side
    281,754.74x = 58,989,078,057.26
  5. Step 5: Solve for x
    x = 58,989,078,057.26/281,754.74
  6. Step 6: Final answer
    x = 209,363.21

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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.