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Finding the Fourth Proportional to 428,563.92, 642,549.36 and 188,562.48

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Solution

The fourth proportional to 428,563.92, 642,549.36 and 188,562.48 is: 282,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,563.92 : 642,549.36 = 188,562.48 : x
  2. Step 2: Convert to fraction form
    428,563.92/642,549.36 = 188,562.48/x
  3. Step 3: Cross multiply
    428,563.92x = 642,549.36 × 188,562.48
  4. Step 4: Simplify right side
    428,563.92x = 121,160,700,844.01
  5. Step 5: Solve for x
    x = 121,160,700,844.01/428,563.92
  6. Step 6: Final answer
    x = 282,713.26

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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.