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Finding the Fourth Proportional to 319,480.74, 440,771.76 and 204,822.54

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Solution

The fourth proportional to 319,480.74, 440,771.76 and 204,822.54 is: 282,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,480.74 : 440,771.76 = 204,822.54 : x
  2. Step 2: Convert to fraction form
    319,480.74/440,771.76 = 204,822.54/x
  3. Step 3: Cross multiply
    319,480.74x = 440,771.76 × 204,822.54
  4. Step 4: Simplify right side
    319,480.74x = 90,279,991,443.47
  5. Step 5: Solve for x
    x = 90,279,991,443.47/319,480.74
  6. Step 6: Final answer
    x = 282,583.52

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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.