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Finding the Fourth Proportional to 271,424.70, 407,075.07 and 102,963.74

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Solution

The fourth proportional to 271,424.70, 407,075.07 and 102,963.74 is: 154,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,424.70 : 407,075.07 = 102,963.74 : x
  2. Step 2: Convert to fraction form
    271,424.70/407,075.07 = 102,963.74/x
  3. Step 3: Cross multiply
    271,424.70x = 407,075.07 × 102,963.74
  4. Step 4: Simplify right side
    271,424.70x = 41,913,969,632.59
  5. Step 5: Solve for x
    x = 41,913,969,632.59/271,424.70
  6. Step 6: Final answer
    x = 154,422.09

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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.