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Finding the Fourth Proportional to 321,673.37, 482,514.16 and 85,014

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Solution

The fourth proportional to 321,673.37, 482,514.16 and 85,014 is: 127,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,673.37 : 482,514.16 = 85,014 : x
  2. Step 2: Convert to fraction form
    321,673.37/482,514.16 = 85,014/x
  3. Step 3: Cross multiply
    321,673.37x = 482,514.16 × 85,014
  4. Step 4: Simplify right side
    321,673.37x = 41,020,458,373.17
  5. Step 5: Solve for x
    x = 41,020,458,373.17/321,673.37
  6. Step 6: Final answer
    x = 127,522.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.