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Finding the Fourth Proportional to 428,510.23, 642,211.72 and 203,939.48

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Solution

The fourth proportional to 428,510.23, 642,211.72 and 203,939.48 is: 305,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,510.23 : 642,211.72 = 203,939.48 : x
  2. Step 2: Convert to fraction form
    428,510.23/642,211.72 = 203,939.48/x
  3. Step 3: Cross multiply
    428,510.23x = 642,211.72 × 203,939.48
  4. Step 4: Simplify right side
    428,510.23x = 130,972,325,322.39
  5. Step 5: Solve for x
    x = 130,972,325,322.39/428,510.23
  6. Step 6: Final answer
    x = 305,645.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.