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Finding the Fourth Proportional to 428,382.32, 641,872.49 and 259,390.80

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Solution

The fourth proportional to 428,382.32, 641,872.49 and 259,390.80 is: 388,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,382.32 : 641,872.49 = 259,390.80 : x
  2. Step 2: Convert to fraction form
    428,382.32/641,872.49 = 259,390.80/x
  3. Step 3: Cross multiply
    428,382.32x = 641,872.49 × 259,390.80
  4. Step 4: Simplify right side
    428,382.32x = 166,495,817,382.14
  5. Step 5: Solve for x
    x = 166,495,817,382.14/428,382.32
  6. Step 6: Final answer
    x = 388,661.74

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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.