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Finding the Fourth Proportional to 300,509.34, 450,992.58 and 111,148.86

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Solution

The fourth proportional to 300,509.34, 450,992.58 and 111,148.86 is: 166,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,509.34 : 450,992.58 = 111,148.86 : x
  2. Step 2: Convert to fraction form
    300,509.34/450,992.58 = 111,148.86/x
  3. Step 3: Cross multiply
    300,509.34x = 450,992.58 × 111,148.86
  4. Step 4: Simplify right side
    300,509.34x = 50,127,311,135.46
  5. Step 5: Solve for x
    x = 50,127,311,135.46/300,509.34
  6. Step 6: Final answer
    x = 166,807.83

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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.