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Finding the Fourth Proportional to 271,643.16, 407,548.16 and 129,669.60

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Solution

The fourth proportional to 271,643.16, 407,548.16 and 129,669.60 is: 194,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,643.16 : 407,548.16 = 129,669.60 : x
  2. Step 2: Convert to fraction form
    271,643.16/407,548.16 = 129,669.60/x
  3. Step 3: Cross multiply
    271,643.16x = 407,548.16 × 129,669.60
  4. Step 4: Simplify right side
    271,643.16x = 52,846,606,887.94
  5. Step 5: Solve for x
    x = 52,846,606,887.94/271,643.16
  6. Step 6: Final answer
    x = 194,544.22

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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.