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Finding the Fourth Proportional to 398,410.82, 549,806.94 and 219,562.82

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Solution

The fourth proportional to 398,410.82, 549,806.94 and 219,562.82 is: 302,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,410.82 : 549,806.94 = 219,562.82 : x
  2. Step 2: Convert to fraction form
    398,410.82/549,806.94 = 219,562.82/x
  3. Step 3: Cross multiply
    398,410.82x = 549,806.94 × 219,562.82
  4. Step 4: Simplify right side
    398,410.82x = 120,717,162,201.97
  5. Step 5: Solve for x
    x = 120,717,162,201.97/398,410.82
  6. Step 6: Final answer
    x = 302,996.70

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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.