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Finding the Fourth Proportional to 393,963, 589,997.53 and 224,971.68

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Solution

The fourth proportional to 393,963, 589,997.53 and 224,971.68 is: 336,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,963 : 589,997.53 = 224,971.68 : x
  2. Step 2: Convert to fraction form
    393,963/589,997.53 = 224,971.68/x
  3. Step 3: Cross multiply
    393,963x = 589,997.53 × 224,971.68
  4. Step 4: Simplify right side
    393,963x = 132,732,735,519.95
  5. Step 5: Solve for x
    x = 132,732,735,519.95/393,963
  6. Step 6: Final answer
    x = 336,916.75

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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.