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Finding the Fourth Proportional to 398,415.06, 597,505.95 and 328,120.02

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Solution

The fourth proportional to 398,415.06, 597,505.95 and 328,120.02 is: 492,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,415.06 : 597,505.95 = 328,120.02 : x
  2. Step 2: Convert to fraction form
    398,415.06/597,505.95 = 328,120.02/x
  3. Step 3: Cross multiply
    398,415.06x = 597,505.95 × 328,120.02
  4. Step 4: Simplify right side
    398,415.06x = 196,053,664,264.12
  5. Step 5: Solve for x
    x = 196,053,664,264.12/398,415.06
  6. Step 6: Final answer
    x = 492,083.97

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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.