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Finding the Fourth Proportional to 321,315.72, 443,415.70 and 178,097.32

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Solution

The fourth proportional to 321,315.72, 443,415.70 and 178,097.32 is: 245,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,315.72 : 443,415.70 = 178,097.32 : x
  2. Step 2: Convert to fraction form
    321,315.72/443,415.70 = 178,097.32/x
  3. Step 3: Cross multiply
    321,315.72x = 443,415.70 × 178,097.32
  4. Step 4: Simplify right side
    321,315.72x = 78,971,147,815.92
  5. Step 5: Solve for x
    x = 78,971,147,815.92/321,315.72
  6. Step 6: Final answer
    x = 245,774.31

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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.