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Finding the Fourth Proportional to 422,916, 634,374 and 127,428

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Solution

The fourth proportional to 422,916, 634,374 and 127,428 is: 191,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,916 : 634,374 = 127,428 : x
  2. Step 2: Convert to fraction form
    422,916/634,374 = 127,428/x
  3. Step 3: Cross multiply
    422,916x = 634,374 × 127,428
  4. Step 4: Simplify right side
    422,916x = 80,837,010,072
  5. Step 5: Solve for x
    x = 80,837,010,072/422,916
  6. Step 6: Final answer
    x = 191,142

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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.