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Finding the Fourth Proportional to 315,738.36, 471,304.32 and 275,879.88

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Solution

The fourth proportional to 315,738.36, 471,304.32 and 275,879.88 is: 411,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,738.36 : 471,304.32 = 275,879.88 : x
  2. Step 2: Convert to fraction form
    315,738.36/471,304.32 = 275,879.88/x
  3. Step 3: Cross multiply
    315,738.36x = 471,304.32 × 275,879.88
  4. Step 4: Simplify right side
    315,738.36x = 130,023,379,245.08
  5. Step 5: Solve for x
    x = 130,023,379,245.08/315,738.36
  6. Step 6: Final answer
    x = 411,807.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.