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Finding the Fourth Proportional to 398,119, 549,404.22 and 219,271

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Solution

The fourth proportional to 398,119, 549,404.22 and 219,271 is: 302,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,119 : 549,404.22 = 219,271 : x
  2. Step 2: Convert to fraction form
    398,119/549,404.22 = 219,271/x
  3. Step 3: Cross multiply
    398,119x = 549,404.22 × 219,271
  4. Step 4: Simplify right side
    398,119x = 120,468,412,723.62
  5. Step 5: Solve for x
    x = 120,468,412,723.62/398,119
  6. Step 6: Final answer
    x = 302,593.98

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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.