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Finding the Fourth Proportional to 422,615.04, 634,127.62 and 185,927

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Solution

The fourth proportional to 422,615.04, 634,127.62 and 185,927 is: 278,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,615.04 : 634,127.62 = 185,927 : x
  2. Step 2: Convert to fraction form
    422,615.04/634,127.62 = 185,927/x
  3. Step 3: Cross multiply
    422,615.04x = 634,127.62 × 185,927
  4. Step 4: Simplify right side
    422,615.04x = 117,901,446,003.74
  5. Step 5: Solve for x
    x = 117,901,446,003.74/422,615.04
  6. Step 6: Final answer
    x = 278,980.71

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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.