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Finding the Fourth Proportional to 345,708, 518,562 and 83,052

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Solution

The fourth proportional to 345,708, 518,562 and 83,052 is: 124,578

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,708 : 518,562 = 83,052 : x
  2. Step 2: Convert to fraction form
    345,708/518,562 = 83,052/x
  3. Step 3: Cross multiply
    345,708x = 518,562 × 83,052
  4. Step 4: Simplify right side
    345,708x = 43,067,611,224
  5. Step 5: Solve for x
    x = 43,067,611,224/345,708
  6. Step 6: Final answer
    x = 124,578

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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.