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Finding the Fourth Proportional to 320,779, 442,791.66 and 186,643

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Solution

The fourth proportional to 320,779, 442,791.66 and 186,643 is: 257,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,779 : 442,791.66 = 186,643 : x
  2. Step 2: Convert to fraction form
    320,779/442,791.66 = 186,643/x
  3. Step 3: Cross multiply
    320,779x = 442,791.66 × 186,643
  4. Step 4: Simplify right side
    320,779x = 82,643,963,797.38
  5. Step 5: Solve for x
    x = 82,643,963,797.38/320,779
  6. Step 6: Final answer
    x = 257,635.21

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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.