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Finding the Fourth Proportional to 225,955.41, 311,534.76 and 165,420.96

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Solution

The fourth proportional to 225,955.41, 311,534.76 and 165,420.96 is: 228,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,955.41 : 311,534.76 = 165,420.96 : x
  2. Step 2: Convert to fraction form
    225,955.41/311,534.76 = 165,420.96/x
  3. Step 3: Cross multiply
    225,955.41x = 311,534.76 × 165,420.96
  4. Step 4: Simplify right side
    225,955.41x = 51,534,379,072.57
  5. Step 5: Solve for x
    x = 51,534,379,072.57/225,955.41
  6. Step 6: Final answer
    x = 228,073.23

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1.5x scale

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.