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Finding the Fourth Proportional to 468,839.21, 646,999.79 and 253,978.74

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Solution

The fourth proportional to 468,839.21, 646,999.79 and 253,978.74 is: 350,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,839.21 : 646,999.79 = 253,978.74 : x
  2. Step 2: Convert to fraction form
    468,839.21/646,999.79 = 253,978.74/x
  3. Step 3: Cross multiply
    468,839.21x = 646,999.79 × 253,978.74
  4. Step 4: Simplify right side
    468,839.21x = 164,324,190,174.57
  5. Step 5: Solve for x
    x = 164,324,190,174.57/468,839.21
  6. Step 6: Final answer
    x = 350,491.57

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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.