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Finding the Fourth Proportional to 280,940.24, 421,410.80 and 114,728.24

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Solution

The fourth proportional to 280,940.24, 421,410.80 and 114,728.24 is: 172,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,940.24 : 421,410.80 = 114,728.24 : x
  2. Step 2: Convert to fraction form
    280,940.24/421,410.80 = 114,728.24/x
  3. Step 3: Cross multiply
    280,940.24x = 421,410.80 × 114,728.24
  4. Step 4: Simplify right side
    280,940.24x = 48,347,719,400.99
  5. Step 5: Solve for x
    x = 48,347,719,400.99/280,940.24
  6. Step 6: Final answer
    x = 172,092.54

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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.