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Finding the Fourth Proportional to 422,614.04, 634,126.12 and 185,926

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Solution

The fourth proportional to 422,614.04, 634,126.12 and 185,926 is: 278,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,614.04 : 634,126.12 = 185,926 : x
  2. Step 2: Convert to fraction form
    422,614.04/634,126.12 = 185,926/x
  3. Step 3: Cross multiply
    422,614.04x = 634,126.12 × 185,926
  4. Step 4: Simplify right side
    422,614.04x = 117,900,532,987.12
  5. Step 5: Solve for x
    x = 117,900,532,987.12/422,614.04
  6. Step 6: Final answer
    x = 278,979.21

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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.