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Finding the Fourth Proportional to 393,992, 590,988 and 98,504

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Solution

The fourth proportional to 393,992, 590,988 and 98,504 is: 147,756

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,992 : 590,988 = 98,504 : x
  2. Step 2: Convert to fraction form
    393,992/590,988 = 98,504/x
  3. Step 3: Cross multiply
    393,992x = 590,988 × 98,504
  4. Step 4: Simplify right side
    393,992x = 58,214,681,952
  5. Step 5: Solve for x
    x = 58,214,681,952/393,992
  6. Step 6: Final answer
    x = 147,756

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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.