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Finding the Fourth Proportional to 398,162, 549,463.56 and 219,314

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Solution

The fourth proportional to 398,162, 549,463.56 and 219,314 is: 302,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,162 : 549,463.56 = 219,314 : x
  2. Step 2: Convert to fraction form
    398,162/549,463.56 = 219,314/x
  3. Step 3: Cross multiply
    398,162x = 549,463.56 × 219,314
  4. Step 4: Simplify right side
    398,162x = 120,505,051,197.84
  5. Step 5: Solve for x
    x = 120,505,051,197.84/398,162
  6. Step 6: Final answer
    x = 302,653.32

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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.