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Finding the Fourth Proportional to 278,954.64, 418,196.16 and 121,064.40

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Solution

The fourth proportional to 278,954.64, 418,196.16 and 121,064.40 is: 181,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,954.64 : 418,196.16 = 121,064.40 : x
  2. Step 2: Convert to fraction form
    278,954.64/418,196.16 = 121,064.40/x
  3. Step 3: Cross multiply
    278,954.64x = 418,196.16 × 121,064.40
  4. Step 4: Simplify right side
    278,954.64x = 50,628,667,192.70
  5. Step 5: Solve for x
    x = 50,628,667,192.70/278,954.64
  6. Step 6: Final answer
    x = 181,494.26

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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.