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Finding the Fourth Proportional to 398,840.88, 597,954.60 and 206,509.20

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Solution

The fourth proportional to 398,840.88, 597,954.60 and 206,509.20 is: 309,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,840.88 : 597,954.60 = 206,509.20 : x
  2. Step 2: Convert to fraction form
    398,840.88/597,954.60 = 206,509.20/x
  3. Step 3: Cross multiply
    398,840.88x = 597,954.60 × 206,509.20
  4. Step 4: Simplify right side
    398,840.88x = 123,483,126,082.32
  5. Step 5: Solve for x
    x = 123,483,126,082.32/398,840.88
  6. Step 6: Final answer
    x = 309,604.99

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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.