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Finding the Fourth Proportional to 285,805.16, 394,382.70 and 164,985.37

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Solution

The fourth proportional to 285,805.16, 394,382.70 and 164,985.37 is: 227,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,805.16 : 394,382.70 = 164,985.37 : x
  2. Step 2: Convert to fraction form
    285,805.16/394,382.70 = 164,985.37/x
  3. Step 3: Cross multiply
    285,805.16x = 394,382.70 × 164,985.37
  4. Step 4: Simplify right side
    285,805.16x = 65,067,374,553.31
  5. Step 5: Solve for x
    x = 65,067,374,553.31/285,805.16
  6. Step 6: Final answer
    x = 227,663.40

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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.