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Finding the Fourth Proportional to 393,996, 590,994 and 98,508

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Solution

The fourth proportional to 393,996, 590,994 and 98,508 is: 147,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,996 : 590,994 = 98,508 : x
  2. Step 2: Convert to fraction form
    393,996/590,994 = 98,508/x
  3. Step 3: Cross multiply
    393,996x = 590,994 × 98,508
  4. Step 4: Simplify right side
    393,996x = 58,217,636,952
  5. Step 5: Solve for x
    x = 58,217,636,952/393,996
  6. Step 6: Final answer
    x = 147,762

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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.