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Finding the Fourth Proportional to 398,086, 549,376.44 and 234,749.12

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Solution

The fourth proportional to 398,086, 549,376.44 and 234,749.12 is: 323,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,086 : 549,376.44 = 234,749.12 : x
  2. Step 2: Convert to fraction form
    398,086/549,376.44 = 234,749.12/x
  3. Step 3: Cross multiply
    398,086x = 549,376.44 × 234,749.12
  4. Step 4: Simplify right side
    398,086x = 128,965,635,838.73
  5. Step 5: Solve for x
    x = 128,965,635,838.73/398,086
  6. Step 6: Final answer
    x = 323,964.26

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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.