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Finding the Fourth Proportional to 490,714.56, 677,140.32 and 275,835.84

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Solution

The fourth proportional to 490,714.56, 677,140.32 and 275,835.84 is: 380,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,714.56 : 677,140.32 = 275,835.84 : x
  2. Step 2: Convert to fraction form
    490,714.56/677,140.32 = 275,835.84/x
  3. Step 3: Cross multiply
    490,714.56x = 677,140.32 × 275,835.84
  4. Step 4: Simplify right side
    490,714.56x = 186,779,568,965.07
  5. Step 5: Solve for x
    x = 186,779,568,965.07/490,714.56
  6. Step 6: Final answer
    x = 380,627.73

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1.5x scale

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.