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Finding the Fourth Proportional to 271,999.95, 407,999.93 and 171,835.35

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Solution

The fourth proportional to 271,999.95, 407,999.93 and 171,835.35 is: 257,753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,999.95 : 407,999.93 = 171,835.35 : x
  2. Step 2: Convert to fraction form
    271,999.95/407,999.93 = 171,835.35/x
  3. Step 3: Cross multiply
    271,999.95x = 407,999.93 × 171,835.35
  4. Step 4: Simplify right side
    271,999.95x = 70,108,809,912.35
  5. Step 5: Solve for x
    x = 70,108,809,912.35/271,999.95
  6. Step 6: Final answer
    x = 257,753.03

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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.