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Finding the Fourth Proportional to 398,069.64, 549,311.22 and 219,221.64

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Solution

The fourth proportional to 398,069.64, 549,311.22 and 219,221.64 is: 302,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,069.64 : 549,311.22 = 219,221.64 : x
  2. Step 2: Convert to fraction form
    398,069.64/549,311.22 = 219,221.64/x
  3. Step 3: Cross multiply
    398,069.64x = 549,311.22 × 219,221.64
  4. Step 4: Simplify right side
    398,069.64x = 120,420,906,518.80
  5. Step 5: Solve for x
    x = 120,420,906,518.80/398,069.64
  6. Step 6: Final answer
    x = 302,512.16

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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.