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Finding the Fourth Proportional to 280,280.95, 420,217.75 and 111,750.73

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Solution

The fourth proportional to 280,280.95, 420,217.75 and 111,750.73 is: 167,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,280.95 : 420,217.75 = 111,750.73 : x
  2. Step 2: Convert to fraction form
    280,280.95/420,217.75 = 111,750.73/x
  3. Step 3: Cross multiply
    280,280.95x = 420,217.75 × 111,750.73
  4. Step 4: Simplify right side
    280,280.95x = 46,959,640,321.46
  5. Step 5: Solve for x
    x = 46,959,640,321.46/280,280.95
  6. Step 6: Final answer
    x = 167,544.89

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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.