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Finding the Fourth Proportional to 271,678.40, 407,498.36 and 71,994.38

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Solution

The fourth proportional to 271,678.40, 407,498.36 and 71,994.38 is: 107,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,678.40 : 407,498.36 = 71,994.38 : x
  2. Step 2: Convert to fraction form
    271,678.40/407,498.36 = 71,994.38/x
  3. Step 3: Cross multiply
    271,678.40x = 407,498.36 × 71,994.38
  4. Step 4: Simplify right side
    271,678.40x = 29,337,591,779.22
  5. Step 5: Solve for x
    x = 29,337,591,779.22/271,678.40
  6. Step 6: Final answer
    x = 107,986.47

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1.5x scale

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.