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Finding the Fourth Proportional to 298,106.76, 411,383.14 and 162,137.64

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Solution

The fourth proportional to 298,106.76, 411,383.14 and 162,137.64 is: 223,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,106.76 : 411,383.14 = 162,137.64 : x
  2. Step 2: Convert to fraction form
    298,106.76/411,383.14 = 162,137.64/x
  3. Step 3: Cross multiply
    298,106.76x = 411,383.14 × 162,137.64
  4. Step 4: Simplify right side
    298,106.76x = 66,700,691,455.39
  5. Step 5: Solve for x
    x = 66,700,691,455.39/298,106.76
  6. Step 6: Final answer
    x = 223,747.66

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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.