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Finding the Fourth Proportional to 398,166, 549,469.08 and 219,318

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Solution

The fourth proportional to 398,166, 549,469.08 and 219,318 is: 302,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,166 : 549,469.08 = 219,318 : x
  2. Step 2: Convert to fraction form
    398,166/549,469.08 = 219,318/x
  3. Step 3: Cross multiply
    398,166x = 549,469.08 × 219,318
  4. Step 4: Simplify right side
    398,166x = 120,508,459,687.44
  5. Step 5: Solve for x
    x = 120,508,459,687.44/398,166
  6. Step 6: Final answer
    x = 302,658.84

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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.