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Finding the Fourth Proportional to 398,406.87, 549,785.43 and 217,114.88

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Solution

The fourth proportional to 398,406.87, 549,785.43 and 217,114.88 is: 299,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,406.87 : 549,785.43 = 217,114.88 : x
  2. Step 2: Convert to fraction form
    398,406.87/549,785.43 = 217,114.88/x
  3. Step 3: Cross multiply
    398,406.87x = 549,785.43 × 217,114.88
  4. Step 4: Simplify right side
    398,406.87x = 119,366,594,911.27
  5. Step 5: Solve for x
    x = 119,366,594,911.27/398,406.87
  6. Step 6: Final answer
    x = 299,609.78

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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.