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Finding the Fourth Proportional to 422,582.78, 634,009.64 and 123,081.35

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Solution

The fourth proportional to 422,582.78, 634,009.64 and 123,081.35 is: 184,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,582.78 : 634,009.64 = 123,081.35 : x
  2. Step 2: Convert to fraction form
    422,582.78/634,009.64 = 123,081.35/x
  3. Step 3: Cross multiply
    422,582.78x = 634,009.64 × 123,081.35
  4. Step 4: Simplify right side
    422,582.78x = 78,034,758,618.76
  5. Step 5: Solve for x
    x = 78,034,758,618.76/422,582.78
  6. Step 6: Final answer
    x = 184,661.48

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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.