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Finding the Fourth Proportional to 271,506, 407,269.98 and 129,278.10

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Solution

The fourth proportional to 271,506, 407,269.98 and 129,278.10 is: 193,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,506 : 407,269.98 = 129,278.10 : x
  2. Step 2: Convert to fraction form
    271,506/407,269.98 = 129,278.10/x
  3. Step 3: Cross multiply
    271,506x = 407,269.98 × 129,278.10
  4. Step 4: Simplify right side
    271,506x = 52,651,089,201.44
  5. Step 5: Solve for x
    x = 52,651,089,201.44/271,506
  6. Step 6: Final answer
    x = 193,922.38

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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.