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Finding the Fourth Proportional to 381,409.28, 571,885.61 and 128,684.19

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Solution

The fourth proportional to 381,409.28, 571,885.61 and 128,684.19 is: 192,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,409.28 : 571,885.61 = 128,684.19 : x
  2. Step 2: Convert to fraction form
    381,409.28/571,885.61 = 128,684.19/x
  3. Step 3: Cross multiply
    381,409.28x = 571,885.61 × 128,684.19
  4. Step 4: Simplify right side
    381,409.28x = 73,592,635,852.09
  5. Step 5: Solve for x
    x = 73,592,635,852.09/381,409.28
  6. Step 6: Final answer
    x = 192,949.26

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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.