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Finding the Fourth Proportional to 298,091.60, 446,845.80 and 148,209.20

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Solution

The fourth proportional to 298,091.60, 446,845.80 and 148,209.20 is: 222,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,091.60 : 446,845.80 = 148,209.20 : x
  2. Step 2: Convert to fraction form
    298,091.60/446,845.80 = 148,209.20/x
  3. Step 3: Cross multiply
    298,091.60x = 446,845.80 × 148,209.20
  4. Step 4: Simplify right side
    298,091.60x = 66,226,658,541.36
  5. Step 5: Solve for x
    x = 66,226,658,541.36/298,091.60
  6. Step 6: Final answer
    x = 222,168.82

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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.