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Finding the Fourth Proportional to 381,258.78, 571,892.28 and 115,021.62

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Solution

The fourth proportional to 381,258.78, 571,892.28 and 115,021.62 is: 172,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,258.78 : 571,892.28 = 115,021.62 : x
  2. Step 2: Convert to fraction form
    381,258.78/571,892.28 = 115,021.62/x
  3. Step 3: Cross multiply
    381,258.78x = 571,892.28 × 115,021.62
  4. Step 4: Simplify right side
    381,258.78x = 65,779,976,511.09
  5. Step 5: Solve for x
    x = 65,779,976,511.09/381,258.78
  6. Step 6: Final answer
    x = 172,533.67

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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.