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Finding the Fourth Proportional to 314,279.36, 470,796.96 and 274,880.96

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Solution

The fourth proportional to 314,279.36, 470,796.96 and 274,880.96 is: 411,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,279.36 : 470,796.96 = 274,880.96 : x
  2. Step 2: Convert to fraction form
    314,279.36/470,796.96 = 274,880.96/x
  3. Step 3: Cross multiply
    314,279.36x = 470,796.96 × 274,880.96
  4. Step 4: Simplify right side
    314,279.36x = 129,413,120,329.88
  5. Step 5: Solve for x
    x = 129,413,120,329.88/314,279.36
  6. Step 6: Final answer
    x = 411,777.34

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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.