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Finding the Fourth Proportional to 271,734, 407,597.56 and 191,440.24

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Solution

The fourth proportional to 271,734, 407,597.56 and 191,440.24 is: 287,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,734 : 407,597.56 = 191,440.24 : x
  2. Step 2: Convert to fraction form
    271,734/407,597.56 = 191,440.24/x
  3. Step 3: Cross multiply
    271,734x = 407,597.56 × 191,440.24
  4. Step 4: Simplify right side
    271,734x = 78,030,574,709.81
  5. Step 5: Solve for x
    x = 78,030,574,709.81/271,734
  6. Step 6: Final answer
    x = 287,157.94

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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.