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Finding the Fourth Proportional to 280,940.75, 421,411.53 and 114,728.75

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Solution

The fourth proportional to 280,940.75, 421,411.53 and 114,728.75 is: 172,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,940.75 : 421,411.53 = 114,728.75 : x
  2. Step 2: Convert to fraction form
    280,940.75/421,411.53 = 114,728.75/x
  3. Step 3: Cross multiply
    280,940.75x = 421,411.53 × 114,728.75
  4. Step 4: Simplify right side
    280,940.75x = 48,348,018,072.49
  5. Step 5: Solve for x
    x = 48,348,018,072.49/280,940.75
  6. Step 6: Final answer
    x = 172,093.29

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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.