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Finding the Fourth Proportional to 422,598.42, 634,001.64 and 123,081.84

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Solution

The fourth proportional to 422,598.42, 634,001.64 and 123,081.84 is: 184,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,598.42 : 634,001.64 = 123,081.84 : x
  2. Step 2: Convert to fraction form
    422,598.42/634,001.64 = 123,081.84/x
  3. Step 3: Cross multiply
    422,598.42x = 634,001.64 × 123,081.84
  4. Step 4: Simplify right side
    422,598.42x = 78,034,088,414.22
  5. Step 5: Solve for x
    x = 78,034,088,414.22/422,598.42
  6. Step 6: Final answer
    x = 184,653.05

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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.