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Finding the Fourth Proportional to 398,501.56, 597,635.70 and 328,206.52

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Solution

The fourth proportional to 398,501.56, 597,635.70 and 328,206.52 is: 492,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,501.56 : 597,635.70 = 328,206.52 : x
  2. Step 2: Convert to fraction form
    398,501.56/597,635.70 = 328,206.52/x
  3. Step 3: Cross multiply
    398,501.56x = 597,635.70 × 328,206.52
  4. Step 4: Simplify right side
    398,501.56x = 196,147,933,324.76
  5. Step 5: Solve for x
    x = 196,147,933,324.76/398,501.56
  6. Step 6: Final answer
    x = 492,213.72

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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.