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Finding the Fourth Proportional to 398,654.40, 597,390.84 and 328,078.56

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Solution

The fourth proportional to 398,654.40, 597,390.84 and 328,078.56 is: 491,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,654.40 : 597,390.84 = 328,078.56 : x
  2. Step 2: Convert to fraction form
    398,654.40/597,390.84 = 328,078.56/x
  3. Step 3: Cross multiply
    398,654.40x = 597,390.84 × 328,078.56
  4. Step 4: Simplify right side
    398,654.40x = 195,991,126,544.39
  5. Step 5: Solve for x
    x = 195,991,126,544.39/398,654.40
  6. Step 6: Final answer
    x = 491,631.67

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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.