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Finding the Fourth Proportional to 398,756.38, 598,383.56 and 265,729.98

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Solution

The fourth proportional to 398,756.38, 598,383.56 and 265,729.98 is: 398,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,756.38 : 598,383.56 = 265,729.98 : x
  2. Step 2: Convert to fraction form
    398,756.38/598,383.56 = 265,729.98/x
  3. Step 3: Cross multiply
    398,756.38x = 598,383.56 × 265,729.98
  4. Step 4: Simplify right side
    398,756.38x = 159,008,451,431.13
  5. Step 5: Solve for x
    x = 159,008,451,431.13/398,756.38
  6. Step 6: Final answer
    x = 398,760.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.