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Finding the Fourth Proportional to 298,071.82, 411,335.15 and 162,102.84

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Solution

The fourth proportional to 298,071.82, 411,335.15 and 162,102.84 is: 223,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,071.82 : 411,335.15 = 162,102.84 : x
  2. Step 2: Convert to fraction form
    298,071.82/411,335.15 = 162,102.84/x
  3. Step 3: Cross multiply
    298,071.82x = 411,335.15 × 162,102.84
  4. Step 4: Simplify right side
    298,071.82x = 66,678,595,196.31
  5. Step 5: Solve for x
    x = 66,678,595,196.31/298,071.82
  6. Step 6: Final answer
    x = 223,699.76

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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.