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Finding the Fourth Proportional to 428,694.37, 642,578.85 and 188,594.57

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Solution

The fourth proportional to 428,694.37, 642,578.85 and 188,594.57 is: 282,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,694.37 : 642,578.85 = 188,594.57 : x
  2. Step 2: Convert to fraction form
    428,694.37/642,578.85 = 188,594.57/x
  3. Step 3: Cross multiply
    428,694.37x = 642,578.85 × 188,594.57
  4. Step 4: Simplify right side
    428,694.37x = 121,186,883,513.29
  5. Step 5: Solve for x
    x = 121,186,883,513.29/428,694.37
  6. Step 6: Final answer
    x = 282,688.30

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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.