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Finding the Fourth Proportional to 299,470.50, 412,728.01 and 248,213.30

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Solution

The fourth proportional to 299,470.50, 412,728.01 and 248,213.30 is: 342,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,470.50 : 412,728.01 = 248,213.30 : x
  2. Step 2: Convert to fraction form
    299,470.50/412,728.01 = 248,213.30/x
  3. Step 3: Cross multiply
    299,470.50x = 412,728.01 × 248,213.30
  4. Step 4: Simplify right side
    299,470.50x = 102,444,578,680.36
  5. Step 5: Solve for x
    x = 102,444,578,680.36/299,470.50
  6. Step 6: Final answer
    x = 342,085.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.