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Finding the Fourth Proportional to 345,610, 518,415 and 82,954

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Solution

The fourth proportional to 345,610, 518,415 and 82,954 is: 124,431

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,610 : 518,415 = 82,954 : x
  2. Step 2: Convert to fraction form
    345,610/518,415 = 82,954/x
  3. Step 3: Cross multiply
    345,610x = 518,415 × 82,954
  4. Step 4: Simplify right side
    345,610x = 43,004,597,910
  5. Step 5: Solve for x
    x = 43,004,597,910/345,610
  6. Step 6: Final answer
    x = 124,431

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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.