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Finding the Fourth Proportional to 321,730.65, 443,968.29 and 178,487.82

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Solution

The fourth proportional to 321,730.65, 443,968.29 and 178,487.82 is: 246,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,730.65 : 443,968.29 = 178,487.82 : x
  2. Step 2: Convert to fraction form
    321,730.65/443,968.29 = 178,487.82/x
  3. Step 3: Cross multiply
    321,730.65x = 443,968.29 × 178,487.82
  4. Step 4: Simplify right side
    321,730.65x = 79,242,932,231.23
  5. Step 5: Solve for x
    x = 79,242,932,231.23/321,730.65
  6. Step 6: Final answer
    x = 246,302.09

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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.