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Finding the Fourth Proportional to 225,471.54, 311,000.88 and 145,000.86

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Solution

The fourth proportional to 225,471.54, 311,000.88 and 145,000.86 is: 200,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,471.54 : 311,000.88 = 145,000.86 : x
  2. Step 2: Convert to fraction form
    225,471.54/311,000.88 = 145,000.86/x
  3. Step 3: Cross multiply
    225,471.54x = 311,000.88 × 145,000.86
  4. Step 4: Simplify right side
    225,471.54x = 45,095,395,060.76
  5. Step 5: Solve for x
    x = 45,095,395,060.76/225,471.54
  6. Step 6: Final answer
    x = 200,004.82

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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.