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Finding the Fourth Proportional to 926,928, 1,279,160.64 and 502,992

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Solution

The fourth proportional to 926,928, 1,279,160.64 and 502,992 is: 694,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,928 : 1,279,160.64 = 502,992 : x
  2. Step 2: Convert to fraction form
    926,928/1,279,160.64 = 502,992/x
  3. Step 3: Cross multiply
    926,928x = 1,279,160.64 × 502,992
  4. Step 4: Simplify right side
    926,928x = 643,407,568,634.88
  5. Step 5: Solve for x
    x = 643,407,568,634.88/926,928
  6. Step 6: Final answer
    x = 694,128.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.