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Finding the Fourth Proportional to 393,997, 590,995.50 and 98,509

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Solution

The fourth proportional to 393,997, 590,995.50 and 98,509 is: 147,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,997 : 590,995.50 = 98,509 : x
  2. Step 2: Convert to fraction form
    393,997/590,995.50 = 98,509/x
  3. Step 3: Cross multiply
    393,997x = 590,995.50 × 98,509
  4. Step 4: Simplify right side
    393,997x = 58,218,375,709.50
  5. Step 5: Solve for x
    x = 58,218,375,709.50/393,997
  6. Step 6: Final answer
    x = 147,763.50

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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.