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Finding the Fourth Proportional to 398,485, 549,910.20 and 217,198.90

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Solution

The fourth proportional to 398,485, 549,910.20 and 217,198.90 is: 299,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,485 : 549,910.20 = 217,198.90 : x
  2. Step 2: Convert to fraction form
    398,485/549,910.20 = 217,198.90/x
  3. Step 3: Cross multiply
    398,485x = 549,910.20 × 217,198.90
  4. Step 4: Simplify right side
    398,485x = 119,439,890,538.78
  5. Step 5: Solve for x
    x = 119,439,890,538.78/398,485
  6. Step 6: Final answer
    x = 299,734.97

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1.5x scale

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.