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Finding the Fourth Proportional to 422,671.84, 633,975.44 and 123,154.72

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Solution

The fourth proportional to 422,671.84, 633,975.44 and 123,154.72 is: 184,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,671.84 : 633,975.44 = 123,154.72 : x
  2. Step 2: Convert to fraction form
    422,671.84/633,975.44 = 123,154.72/x
  3. Step 3: Cross multiply
    422,671.84x = 633,975.44 × 123,154.72
  4. Step 4: Simplify right side
    422,671.84x = 78,077,067,800.08
  5. Step 5: Solve for x
    x = 78,077,067,800.08/422,671.84
  6. Step 6: Final answer
    x = 184,722.66

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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.