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Finding the Fourth Proportional to 422,495.20, 633,742.80 and 254,533.60

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Solution

The fourth proportional to 422,495.20, 633,742.80 and 254,533.60 is: 381,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,495.20 : 633,742.80 = 254,533.60 : x
  2. Step 2: Convert to fraction form
    422,495.20/633,742.80 = 254,533.60/x
  3. Step 3: Cross multiply
    422,495.20x = 633,742.80 × 254,533.60
  4. Step 4: Simplify right side
    422,495.20x = 161,308,836,358.08
  5. Step 5: Solve for x
    x = 161,308,836,358.08/422,495.20
  6. Step 6: Final answer
    x = 381,800.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.