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Finding the Fourth Proportional to 538,804.95, 743,658.60 and 309,519.53

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Solution

The fourth proportional to 538,804.95, 743,658.60 and 309,519.53 is: 427,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,804.95 : 743,658.60 = 309,519.53 : x
  2. Step 2: Convert to fraction form
    538,804.95/743,658.60 = 309,519.53/x
  3. Step 3: Cross multiply
    538,804.95x = 743,658.60 × 309,519.53
  4. Step 4: Simplify right side
    538,804.95x = 230,176,856,634.17
  5. Step 5: Solve for x
    x = 230,176,856,634.17/538,804.95
  6. Step 6: Final answer
    x = 427,198.85

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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.