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Finding the Fourth Proportional to 422,878.29, 634,319.55 and 107,335.29

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Solution

The fourth proportional to 422,878.29, 634,319.55 and 107,335.29 is: 161,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,878.29 : 634,319.55 = 107,335.29 : x
  2. Step 2: Convert to fraction form
    422,878.29/634,319.55 = 107,335.29/x
  3. Step 3: Cross multiply
    422,878.29x = 634,319.55 × 107,335.29
  4. Step 4: Simplify right side
    422,878.29x = 68,084,872,851.92
  5. Step 5: Solve for x
    x = 68,084,872,851.92/422,878.29
  6. Step 6: Final answer
    x = 161,003.47

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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.