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Finding the Fourth Proportional to 398,163, 549,464.94 and 219,315

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Solution

The fourth proportional to 398,163, 549,464.94 and 219,315 is: 302,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,163 : 549,464.94 = 219,315 : x
  2. Step 2: Convert to fraction form
    398,163/549,464.94 = 219,315/x
  3. Step 3: Cross multiply
    398,163x = 549,464.94 × 219,315
  4. Step 4: Simplify right side
    398,163x = 120,505,903,316.10
  5. Step 5: Solve for x
    x = 120,505,903,316.10/398,163
  6. Step 6: Final answer
    x = 302,654.70

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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.