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Finding the Fourth Proportional to 457,012.72, 630,481.98 and 275,621.44

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Solution

The fourth proportional to 457,012.72, 630,481.98 and 275,621.44 is: 380,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,012.72 : 630,481.98 = 275,621.44 : x
  2. Step 2: Convert to fraction form
    457,012.72/630,481.98 = 275,621.44/x
  3. Step 3: Cross multiply
    457,012.72x = 630,481.98 × 275,621.44
  4. Step 4: Simplify right side
    457,012.72x = 173,774,351,221.65
  5. Step 5: Solve for x
    x = 173,774,351,221.65/457,012.72
  6. Step 6: Final answer
    x = 380,239.64

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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.