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Finding the Fourth Proportional to 398,395.90, 549,770.35 and 217,103.97

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Solution

The fourth proportional to 398,395.90, 549,770.35 and 217,103.97 is: 299,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,395.90 : 549,770.35 = 217,103.97 : x
  2. Step 2: Convert to fraction form
    398,395.90/549,770.35 = 217,103.97/x
  3. Step 3: Cross multiply
    398,395.90x = 549,770.35 × 217,103.97
  4. Step 4: Simplify right side
    398,395.90x = 119,357,324,406.78
  5. Step 5: Solve for x
    x = 119,357,324,406.78/398,395.90
  6. Step 6: Final answer
    x = 299,594.76

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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.