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Finding the Fourth Proportional to 278,825.51, 418,003.16 and 120,935.05

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Solution

The fourth proportional to 278,825.51, 418,003.16 and 120,935.05 is: 181,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,825.51 : 418,003.16 = 120,935.05 : x
  2. Step 2: Convert to fraction form
    278,825.51/418,003.16 = 120,935.05/x
  3. Step 3: Cross multiply
    278,825.51x = 418,003.16 × 120,935.05
  4. Step 4: Simplify right side
    278,825.51x = 50,551,231,405.07
  5. Step 5: Solve for x
    x = 50,551,231,405.07/278,825.51
  6. Step 6: Final answer
    x = 181,300.60

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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.