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Finding the Fourth Proportional to 300,319.86, 450,519.42 and 110,913.35

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Solution

The fourth proportional to 300,319.86, 450,519.42 and 110,913.35 is: 166,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,319.86 : 450,519.42 = 110,913.35 : x
  2. Step 2: Convert to fraction form
    300,319.86/450,519.42 = 110,913.35/x
  3. Step 3: Cross multiply
    300,319.86x = 450,519.42 × 110,913.35
  4. Step 4: Simplify right side
    300,319.86x = 49,968,619,238.56
  5. Step 5: Solve for x
    x = 49,968,619,238.56/300,319.86
  6. Step 6: Final answer
    x = 166,384.67

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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.