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Finding the Fourth Proportional to 393,993, 590,989.50 and 98,505

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Solution

The fourth proportional to 393,993, 590,989.50 and 98,505 is: 147,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,993 : 590,989.50 = 98,505 : x
  2. Step 2: Convert to fraction form
    393,993/590,989.50 = 98,505/x
  3. Step 3: Cross multiply
    393,993x = 590,989.50 × 98,505
  4. Step 4: Simplify right side
    393,993x = 58,215,420,697.50
  5. Step 5: Solve for x
    x = 58,215,420,697.50/393,993
  6. Step 6: Final answer
    x = 147,757.50

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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.