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Finding the Fourth Proportional to 280,279.95, 420,216.26 and 111,749.73

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Solution

The fourth proportional to 280,279.95, 420,216.26 and 111,749.73 is: 167,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,279.95 : 420,216.26 = 111,749.73 : x
  2. Step 2: Convert to fraction form
    280,279.95/420,216.26 = 111,749.73/x
  3. Step 3: Cross multiply
    280,279.95x = 420,216.26 × 111,749.73
  4. Step 4: Simplify right side
    280,279.95x = 46,959,051,462.05
  5. Step 5: Solve for x
    x = 46,959,051,462.05/280,279.95
  6. Step 6: Final answer
    x = 167,543.39

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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.