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Finding the Fourth Proportional to 381,257.94, 571,891.02 and 115,020.77

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Solution

The fourth proportional to 381,257.94, 571,891.02 and 115,020.77 is: 172,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,257.94 : 571,891.02 = 115,020.77 : x
  2. Step 2: Convert to fraction form
    381,257.94/571,891.02 = 115,020.77/x
  3. Step 3: Cross multiply
    381,257.94x = 571,891.02 × 115,020.77
  4. Step 4: Simplify right side
    381,257.94x = 65,779,342,617.03
  5. Step 5: Solve for x
    x = 65,779,342,617.03/381,257.94
  6. Step 6: Final answer
    x = 172,532.39

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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.