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Finding the Fourth Proportional to 1,297,739.40, 1,946,795.40 and 399,256.62

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Solution

The fourth proportional to 1,297,739.40, 1,946,795.40 and 399,256.62 is: 598,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,739.40 : 1,946,795.40 = 399,256.62 : x
  2. Step 2: Convert to fraction form
    1,297,739.40/1,946,795.40 = 399,256.62/x
  3. Step 3: Cross multiply
    1,297,739.40x = 1,946,795.40 × 399,256.62
  4. Step 4: Simplify right side
    1,297,739.40x = 777,270,951,235.55
  5. Step 5: Solve for x
    x = 777,270,951,235.55/1,297,739.40
  6. Step 6: Final answer
    x = 598,942.25

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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.