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Finding the Fourth Proportional to 321,596.69, 443,804.74 and 178,370.06

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Solution

The fourth proportional to 321,596.69, 443,804.74 and 178,370.06 is: 246,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,596.69 : 443,804.74 = 178,370.06 : x
  2. Step 2: Convert to fraction form
    321,596.69/443,804.74 = 178,370.06/x
  3. Step 3: Cross multiply
    321,596.69x = 443,804.74 × 178,370.06
  4. Step 4: Simplify right side
    321,596.69x = 79,161,475,437.14
  5. Step 5: Solve for x
    x = 79,161,475,437.14/321,596.69
  6. Step 6: Final answer
    x = 246,151.40

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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.