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Finding the Fourth Proportional to 321,514.65, 443,668.59 and 178,269.39

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Solution

The fourth proportional to 321,514.65, 443,668.59 and 178,269.39 is: 245,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,514.65 : 443,668.59 = 178,269.39 : x
  2. Step 2: Convert to fraction form
    321,514.65/443,668.59 = 178,269.39/x
  3. Step 3: Cross multiply
    321,514.65x = 443,668.59 × 178,269.39
  4. Step 4: Simplify right side
    321,514.65x = 79,092,528,901.46
  5. Step 5: Solve for x
    x = 79,092,528,901.46/321,514.65
  6. Step 6: Final answer
    x = 245,999.77

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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.