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Finding the Fourth Proportional to 280,295.30, 420,183.95 and 111,774.67

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Solution

The fourth proportional to 280,295.30, 420,183.95 and 111,774.67 is: 167,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,295.30 : 420,183.95 = 111,774.67 : x
  2. Step 2: Convert to fraction form
    280,295.30/420,183.95 = 111,774.67/x
  3. Step 3: Cross multiply
    280,295.30x = 420,183.95 × 111,774.67
  4. Step 4: Simplify right side
    280,295.30x = 46,965,920,741.21
  5. Step 5: Solve for x
    x = 46,965,920,741.21/280,295.30
  6. Step 6: Final answer
    x = 167,558.72

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1.5x scale

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.