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Finding the Fourth Proportional to 285,858.81, 394,432.98 and 164,955.98

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Solution

The fourth proportional to 285,858.81, 394,432.98 and 164,955.98 is: 227,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,858.81 : 394,432.98 = 164,955.98 : x
  2. Step 2: Convert to fraction form
    285,858.81/394,432.98 = 164,955.98/x
  3. Step 3: Cross multiply
    285,858.81x = 394,432.98 × 164,955.98
  4. Step 4: Simplify right side
    285,858.81x = 65,064,076,788.06
  5. Step 5: Solve for x
    x = 65,064,076,788.06/285,858.81
  6. Step 6: Final answer
    x = 227,609.14

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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.