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Finding the Fourth Proportional to 456,261, 684,391.50 and 123,837

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Solution

The fourth proportional to 456,261, 684,391.50 and 123,837 is: 185,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,261 : 684,391.50 = 123,837 : x
  2. Step 2: Convert to fraction form
    456,261/684,391.50 = 123,837/x
  3. Step 3: Cross multiply
    456,261x = 684,391.50 × 123,837
  4. Step 4: Simplify right side
    456,261x = 84,752,990,185.50
  5. Step 5: Solve for x
    x = 84,752,990,185.50/456,261
  6. Step 6: Final answer
    x = 185,755.50

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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.