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Finding the Fourth Proportional to 300,602.94, 415,629.60 and 262,768.65

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Solution

The fourth proportional to 300,602.94, 415,629.60 and 262,768.65 is: 363,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,602.94 : 415,629.60 = 262,768.65 : x
  2. Step 2: Convert to fraction form
    300,602.94/415,629.60 = 262,768.65/x
  3. Step 3: Cross multiply
    300,602.94x = 415,629.60 × 262,768.65
  4. Step 4: Simplify right side
    300,602.94x = 109,214,428,892.04
  5. Step 5: Solve for x
    x = 109,214,428,892.04/300,602.94
  6. Step 6: Final answer
    x = 363,317.90

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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.