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Finding the Fourth Proportional to 271,599, 407,409.54 and 129,371.16

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Solution

The fourth proportional to 271,599, 407,409.54 and 129,371.16 is: 194,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,599 : 407,409.54 = 129,371.16 : x
  2. Step 2: Convert to fraction form
    271,599/407,409.54 = 129,371.16/x
  3. Step 3: Cross multiply
    271,599x = 407,409.54 × 129,371.16
  4. Step 4: Simplify right side
    271,599x = 52,707,044,784.87
  5. Step 5: Solve for x
    x = 52,707,044,784.87/271,599
  6. Step 6: Final answer
    x = 194,062.00

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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.