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Finding the Fourth Proportional to 589,293, 813,224.34 and 321,021

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Solution

The fourth proportional to 589,293, 813,224.34 and 321,021 is: 443,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,293 : 813,224.34 = 321,021 : x
  2. Step 2: Convert to fraction form
    589,293/813,224.34 = 321,021/x
  3. Step 3: Cross multiply
    589,293x = 813,224.34 × 321,021
  4. Step 4: Simplify right side
    589,293x = 261,062,090,851.14
  5. Step 5: Solve for x
    x = 261,062,090,851.14/589,293
  6. Step 6: Final answer
    x = 443,008.98

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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.