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Finding the Fourth Proportional to 398,763.78, 597,629 and 161,977.30

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Solution

The fourth proportional to 398,763.78, 597,629 and 161,977.30 is: 242,756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,763.78 : 597,629 = 161,977.30 : x
  2. Step 2: Convert to fraction form
    398,763.78/597,629 = 161,977.30/x
  3. Step 3: Cross multiply
    398,763.78x = 597,629 × 161,977.30
  4. Step 4: Simplify right side
    398,763.78x = 96,802,331,821.70
  5. Step 5: Solve for x
    x = 96,802,331,821.70/398,763.78
  6. Step 6: Final answer
    x = 242,756.08

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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.