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Finding the Fourth Proportional to 393,915.86, 543,855.28 and 321,491.76

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Solution

The fourth proportional to 393,915.86, 543,855.28 and 321,491.76 is: 443,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,915.86 : 543,855.28 = 321,491.76 : x
  2. Step 2: Convert to fraction form
    393,915.86/543,855.28 = 321,491.76/x
  3. Step 3: Cross multiply
    393,915.86x = 543,855.28 × 321,491.76
  4. Step 4: Simplify right side
    393,915.86x = 174,844,988,433.22
  5. Step 5: Solve for x
    x = 174,844,988,433.22/393,915.86
  6. Step 6: Final answer
    x = 443,863.79

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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.