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Finding the Fourth Proportional to 538,804.45, 743,657.91 and 309,519.03

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Solution

The fourth proportional to 538,804.45, 743,657.91 and 309,519.03 is: 427,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,804.45 : 743,657.91 = 309,519.03 : x
  2. Step 2: Convert to fraction form
    538,804.45/743,657.91 = 309,519.03/x
  3. Step 3: Cross multiply
    538,804.45x = 743,657.91 × 309,519.03
  4. Step 4: Simplify right side
    538,804.45x = 230,176,274,955.03
  5. Step 5: Solve for x
    x = 230,176,274,955.03/538,804.45
  6. Step 6: Final answer
    x = 427,198.17

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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.