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Finding the Fourth Proportional to 456,042.56, 684,063.88 and 123,618.56

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Solution

The fourth proportional to 456,042.56, 684,063.88 and 123,618.56 is: 185,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,042.56 : 684,063.88 = 123,618.56 : x
  2. Step 2: Convert to fraction form
    456,042.56/684,063.88 = 123,618.56/x
  3. Step 3: Cross multiply
    456,042.56x = 684,063.88 × 123,618.56
  4. Step 4: Simplify right side
    456,042.56x = 84,562,993,194.73
  5. Step 5: Solve for x
    x = 84,562,993,194.73/456,042.56
  6. Step 6: Final answer
    x = 185,427.85

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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.