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Finding the Fourth Proportional to 345,614, 518,421 and 82,958

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Solution

The fourth proportional to 345,614, 518,421 and 82,958 is: 124,437

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,614 : 518,421 = 82,958 : x
  2. Step 2: Convert to fraction form
    345,614/518,421 = 82,958/x
  3. Step 3: Cross multiply
    345,614x = 518,421 × 82,958
  4. Step 4: Simplify right side
    345,614x = 43,007,169,318
  5. Step 5: Solve for x
    x = 43,007,169,318/345,614
  6. Step 6: Final answer
    x = 124,437

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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.