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Finding the Fourth Proportional to 494,881.25, 742,315.39 and 120,907.49

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Solution

The fourth proportional to 494,881.25, 742,315.39 and 120,907.49 is: 181,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,881.25 : 742,315.39 = 120,907.49 : x
  2. Step 2: Convert to fraction form
    494,881.25/742,315.39 = 120,907.49/x
  3. Step 3: Cross multiply
    494,881.25x = 742,315.39 × 120,907.49
  4. Step 4: Simplify right side
    494,881.25x = 89,751,486,579.43
  5. Step 5: Solve for x
    x = 89,751,486,579.43/494,881.25
  6. Step 6: Final answer
    x = 181,359.64

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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.