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Finding the Fourth Proportional to 225,706.56, 311,326.92 and 145,006.80

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Solution

The fourth proportional to 225,706.56, 311,326.92 and 145,006.80 is: 200,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,706.56 : 311,326.92 = 145,006.80 : x
  2. Step 2: Convert to fraction form
    225,706.56/311,326.92 = 145,006.80/x
  3. Step 3: Cross multiply
    225,706.56x = 311,326.92 × 145,006.80
  4. Step 4: Simplify right side
    225,706.56x = 45,144,520,423.06
  5. Step 5: Solve for x
    x = 45,144,520,423.06/225,706.56
  6. Step 6: Final answer
    x = 200,014.22

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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.