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Finding the Fourth Proportional to 398,122, 549,408.36 and 219,274

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Solution

The fourth proportional to 398,122, 549,408.36 and 219,274 is: 302,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,122 : 549,408.36 = 219,274 : x
  2. Step 2: Convert to fraction form
    398,122/549,408.36 = 219,274/x
  3. Step 3: Cross multiply
    398,122x = 549,408.36 × 219,274
  4. Step 4: Simplify right side
    398,122x = 120,470,968,730.64
  5. Step 5: Solve for x
    x = 120,470,968,730.64/398,122
  6. Step 6: Final answer
    x = 302,598.12

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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.