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Finding the Fourth Proportional to 523,021.74, 783,858.21 and 253,086.48

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Solution

The fourth proportional to 523,021.74, 783,858.21 and 253,086.48 is: 379,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,021.74 : 783,858.21 = 253,086.48 : x
  2. Step 2: Convert to fraction form
    523,021.74/783,858.21 = 253,086.48/x
  3. Step 3: Cross multiply
    523,021.74x = 783,858.21 × 253,086.48
  4. Step 4: Simplify right side
    523,021.74x = 198,383,915,188.00
  5. Step 5: Solve for x
    x = 198,383,915,188.00/523,021.74
  6. Step 6: Final answer
    x = 379,303.38

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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.