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Finding the Fourth Proportional to 285,999.64, 394,674.25 and 158,672.50

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Solution

The fourth proportional to 285,999.64, 394,674.25 and 158,672.50 is: 218,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,999.64 : 394,674.25 = 158,672.50 : x
  2. Step 2: Convert to fraction form
    285,999.64/394,674.25 = 158,672.50/x
  3. Step 3: Cross multiply
    285,999.64x = 394,674.25 × 158,672.50
  4. Step 4: Simplify right side
    285,999.64x = 62,623,949,933.13
  5. Step 5: Solve for x
    x = 62,623,949,933.13/285,999.64
  6. Step 6: Final answer
    x = 218,965.14

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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.