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Finding the Fourth Proportional to 271,422.84, 407,770.47 and 256,085.70

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Solution

The fourth proportional to 271,422.84, 407,770.47 and 256,085.70 is: 384,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,422.84 : 407,770.47 = 256,085.70 : x
  2. Step 2: Convert to fraction form
    271,422.84/407,770.47 = 256,085.70/x
  3. Step 3: Cross multiply
    271,422.84x = 407,770.47 × 256,085.70
  4. Step 4: Simplify right side
    271,422.84x = 104,424,186,249.28
  5. Step 5: Solve for x
    x = 104,424,186,249.28/271,422.84
  6. Step 6: Final answer
    x = 384,728.81

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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.