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Finding the Fourth Proportional to 319,575.58, 440,828.32 and 204,813.48

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Solution

The fourth proportional to 319,575.58, 440,828.32 and 204,813.48 is: 282,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,575.58 : 440,828.32 = 204,813.48 : x
  2. Step 2: Convert to fraction form
    319,575.58/440,828.32 = 204,813.48/x
  3. Step 3: Cross multiply
    319,575.58x = 440,828.32 × 204,813.48
  4. Step 4: Simplify right side
    319,575.58x = 90,287,582,301.75
  5. Step 5: Solve for x
    x = 90,287,582,301.75/319,575.58
  6. Step 6: Final answer
    x = 282,523.41

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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.