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Finding the Fourth Proportional to 398,120, 549,405.60 and 219,272

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Solution

The fourth proportional to 398,120, 549,405.60 and 219,272 is: 302,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,120 : 549,405.60 = 219,272 : x
  2. Step 2: Convert to fraction form
    398,120/549,405.60 = 219,272/x
  3. Step 3: Cross multiply
    398,120x = 549,405.60 × 219,272
  4. Step 4: Simplify right side
    398,120x = 120,469,264,723.20
  5. Step 5: Solve for x
    x = 120,469,264,723.20/398,120
  6. Step 6: Final answer
    x = 302,595.36

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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.