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Finding the Fourth Proportional to 398,137, 549,429.06 and 219,289

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Solution

The fourth proportional to 398,137, 549,429.06 and 219,289 is: 302,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,137 : 549,429.06 = 219,289 : x
  2. Step 2: Convert to fraction form
    398,137/549,429.06 = 219,289/x
  3. Step 3: Cross multiply
    398,137x = 549,429.06 × 219,289
  4. Step 4: Simplify right side
    398,137x = 120,483,749,138.34
  5. Step 5: Solve for x
    x = 120,483,749,138.34/398,137
  6. Step 6: Final answer
    x = 302,618.82

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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.