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Finding the Fourth Proportional to 321,279.64, 443,368.38 and 178,042

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Solution

The fourth proportional to 321,279.64, 443,368.38 and 178,042 is: 245,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,279.64 : 443,368.38 = 178,042 : x
  2. Step 2: Convert to fraction form
    321,279.64/443,368.38 = 178,042/x
  3. Step 3: Cross multiply
    321,279.64x = 443,368.38 × 178,042
  4. Step 4: Simplify right side
    321,279.64x = 78,938,193,111.96
  5. Step 5: Solve for x
    x = 78,938,193,111.96/321,279.64
  6. Step 6: Final answer
    x = 245,699.33

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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.