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Finding the Fourth Proportional to 398,308.48, 549,659.28 and 217,022.80

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Solution

The fourth proportional to 398,308.48, 549,659.28 and 217,022.80 is: 299,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,308.48 : 549,659.28 = 217,022.80 : x
  2. Step 2: Convert to fraction form
    398,308.48/549,659.28 = 217,022.80/x
  3. Step 3: Cross multiply
    398,308.48x = 549,659.28 × 217,022.80
  4. Step 4: Simplify right side
    398,308.48x = 119,288,595,991.58
  5. Step 5: Solve for x
    x = 119,288,595,991.58/398,308.48
  6. Step 6: Final answer
    x = 299,487.96

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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.