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Finding the Fourth Proportional to 321,699, 443,878.74 and 178,428.36

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Solution

The fourth proportional to 321,699, 443,878.74 and 178,428.36 is: 246,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,699 : 443,878.74 = 178,428.36 : x
  2. Step 2: Convert to fraction form
    321,699/443,878.74 = 178,428.36/x
  3. Step 3: Cross multiply
    321,699x = 443,878.74 × 178,428.36
  4. Step 4: Simplify right side
    321,699x = 79,200,555,617.07
  5. Step 5: Solve for x
    x = 79,200,555,617.07/321,699
  6. Step 6: Final answer
    x = 246,194.60

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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.