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Finding the Fourth Proportional to 392,100.86, 585,495.40 and 311,231.54

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Solution

The fourth proportional to 392,100.86, 585,495.40 and 311,231.54 is: 464,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,100.86 : 585,495.40 = 311,231.54 : x
  2. Step 2: Convert to fraction form
    392,100.86/585,495.40 = 311,231.54/x
  3. Step 3: Cross multiply
    392,100.86x = 585,495.40 × 311,231.54
  4. Step 4: Simplify right side
    392,100.86x = 182,224,635,004.92
  5. Step 5: Solve for x
    x = 182,224,635,004.92/392,100.86
  6. Step 6: Final answer
    x = 464,739.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.