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Finding the Fourth Proportional to 281,755.74, 422,411.25 and 139,649.95

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Solution

The fourth proportional to 281,755.74, 422,411.25 and 139,649.95 is: 209,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,755.74 : 422,411.25 = 139,649.95 : x
  2. Step 2: Convert to fraction form
    281,755.74/422,411.25 = 139,649.95/x
  3. Step 3: Cross multiply
    281,755.74x = 422,411.25 × 139,649.95
  4. Step 4: Simplify right side
    281,755.74x = 58,989,709,941.94
  5. Step 5: Solve for x
    x = 58,989,709,941.94/281,755.74
  6. Step 6: Final answer
    x = 209,364.71

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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.