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Finding the Fourth Proportional to 319,820, 441,390.48 and 185,684

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Solution

The fourth proportional to 319,820, 441,390.48 and 185,684 is: 256,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,820 : 441,390.48 = 185,684 : x
  2. Step 2: Convert to fraction form
    319,820/441,390.48 = 185,684/x
  3. Step 3: Cross multiply
    319,820x = 441,390.48 × 185,684
  4. Step 4: Simplify right side
    319,820x = 81,959,149,888.32
  5. Step 5: Solve for x
    x = 81,959,149,888.32/319,820
  6. Step 6: Final answer
    x = 256,266.49

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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.