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Finding the Fourth Proportional to 271,780, 407,418.52 and 103,249.80

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Solution

The fourth proportional to 271,780, 407,418.52 and 103,249.80 is: 154,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,780 : 407,418.52 = 103,249.80 : x
  2. Step 2: Convert to fraction form
    271,780/407,418.52 = 103,249.80/x
  3. Step 3: Cross multiply
    271,780x = 407,418.52 × 103,249.80
  4. Step 4: Simplify right side
    271,780x = 42,065,880,706.30
  5. Step 5: Solve for x
    x = 42,065,880,706.30/271,780
  6. Step 6: Final answer
    x = 154,779.16

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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.