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Finding the Fourth Proportional to 325,578.92, 488,386.84 and 100,971.30

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Solution

The fourth proportional to 325,578.92, 488,386.84 and 100,971.30 is: 151,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,578.92 : 488,386.84 = 100,971.30 : x
  2. Step 2: Convert to fraction form
    325,578.92/488,386.84 = 100,971.30/x
  3. Step 3: Cross multiply
    325,578.92x = 488,386.84 × 100,971.30
  4. Step 4: Simplify right side
    325,578.92x = 49,313,054,137.69
  5. Step 5: Solve for x
    x = 49,313,054,137.69/325,578.92
  6. Step 6: Final answer
    x = 151,462.67

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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.