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Finding the Fourth Proportional to 490,255.36, 676,447.36 and 286,213.60

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Solution

The fourth proportional to 490,255.36, 676,447.36 and 286,213.60 is: 394,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,255.36 : 676,447.36 = 286,213.60 : x
  2. Step 2: Convert to fraction form
    490,255.36/676,447.36 = 286,213.60/x
  3. Step 3: Cross multiply
    490,255.36x = 676,447.36 × 286,213.60
  4. Step 4: Simplify right side
    490,255.36x = 193,608,434,116.10
  5. Step 5: Solve for x
    x = 193,608,434,116.10/490,255.36
  6. Step 6: Final answer
    x = 394,913.45

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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.