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Finding the Fourth Proportional to 643,166.12, 965,327.42 and 343,902.51

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Solution

The fourth proportional to 643,166.12, 965,327.42 and 343,902.51 is: 516,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,166.12 : 965,327.42 = 343,902.51 : x
  2. Step 2: Convert to fraction form
    643,166.12/965,327.42 = 343,902.51/x
  3. Step 3: Cross multiply
    643,166.12x = 965,327.42 × 343,902.51
  4. Step 4: Simplify right side
    643,166.12x = 331,978,523,569.58
  5. Step 5: Solve for x
    x = 331,978,523,569.58/643,166.12
  6. Step 6: Final answer
    x = 516,162.95

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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.