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Finding the Fourth Proportional to 398,469, 549,921.78 and 219,655.56

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Solution

The fourth proportional to 398,469, 549,921.78 and 219,655.56 is: 303,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,469 : 549,921.78 = 219,655.56 : x
  2. Step 2: Convert to fraction form
    398,469/549,921.78 = 219,655.56/x
  3. Step 3: Cross multiply
    398,469x = 549,921.78 × 219,655.56
  4. Step 4: Simplify right side
    398,469x = 120,793,376,542.10
  5. Step 5: Solve for x
    x = 120,793,376,542.10/398,469
  6. Step 6: Final answer
    x = 303,143.72

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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.