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Finding the Fourth Proportional to 317,463.22, 438,070.27 and 188,379.41

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Solution

The fourth proportional to 317,463.22, 438,070.27 and 188,379.41 is: 259,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,463.22 : 438,070.27 = 188,379.41 : x
  2. Step 2: Convert to fraction form
    317,463.22/438,070.27 = 188,379.41/x
  3. Step 3: Cross multiply
    317,463.22x = 438,070.27 × 188,379.41
  4. Step 4: Simplify right side
    317,463.22x = 82,523,418,059.24
  5. Step 5: Solve for x
    x = 82,523,418,059.24/317,463.22
  6. Step 6: Final answer
    x = 259,946.39

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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.