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Finding the Fourth Proportional to 398,185, 549,495.30 and 219,337

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Solution

The fourth proportional to 398,185, 549,495.30 and 219,337 is: 302,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,185 : 549,495.30 = 219,337 : x
  2. Step 2: Convert to fraction form
    398,185/549,495.30 = 219,337/x
  3. Step 3: Cross multiply
    398,185x = 549,495.30 × 219,337
  4. Step 4: Simplify right side
    398,185x = 120,524,650,616.10
  5. Step 5: Solve for x
    x = 120,524,650,616.10/398,185
  6. Step 6: Final answer
    x = 302,685.06

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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.