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Finding the Fourth Proportional to 490,902.30, 677,433.42 and 321,132.78

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Solution

The fourth proportional to 490,902.30, 677,433.42 and 321,132.78 is: 443,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,902.30 : 677,433.42 = 321,132.78 : x
  2. Step 2: Convert to fraction form
    490,902.30/677,433.42 = 321,132.78/x
  3. Step 3: Cross multiply
    490,902.30x = 677,433.42 × 321,132.78
  4. Step 4: Simplify right side
    490,902.30x = 217,546,077,429.51
  5. Step 5: Solve for x
    x = 217,546,077,429.51/490,902.30
  6. Step 6: Final answer
    x = 443,155.55

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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.