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Finding the Fourth Proportional to 381,300.78, 571,955.22 and 115,063.64

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Solution

The fourth proportional to 381,300.78, 571,955.22 and 115,063.64 is: 172,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,300.78 : 571,955.22 = 115,063.64 : x
  2. Step 2: Convert to fraction form
    381,300.78/571,955.22 = 115,063.64/x
  3. Step 3: Cross multiply
    381,300.78x = 571,955.22 × 115,063.64
  4. Step 4: Simplify right side
    381,300.78x = 65,811,246,670.42
  5. Step 5: Solve for x
    x = 65,811,246,670.42/381,300.78
  6. Step 6: Final answer
    x = 172,596.67

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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.