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Finding the Fourth Proportional to 398,439.56, 549,830.58 and 217,147.60

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Solution

The fourth proportional to 398,439.56, 549,830.58 and 217,147.60 is: 299,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,439.56 : 549,830.58 = 217,147.60 : x
  2. Step 2: Convert to fraction form
    398,439.56/549,830.58 = 217,147.60/x
  3. Step 3: Cross multiply
    398,439.56x = 549,830.58 × 217,147.60
  4. Step 4: Simplify right side
    398,439.56x = 119,394,389,628.45
  5. Step 5: Solve for x
    x = 119,394,389,628.45/398,439.56
  6. Step 6: Final answer
    x = 299,654.96

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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.