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Finding the Fourth Proportional to 428,568.48, 642,803.36 and 172,391.44

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Solution

The fourth proportional to 428,568.48, 642,803.36 and 172,391.44 is: 258,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,568.48 : 642,803.36 = 172,391.44 : x
  2. Step 2: Convert to fraction form
    428,568.48/642,803.36 = 172,391.44/x
  3. Step 3: Cross multiply
    428,568.48x = 642,803.36 × 172,391.44
  4. Step 4: Simplify right side
    428,568.48x = 110,813,796,867.24
  5. Step 5: Solve for x
    x = 110,813,796,867.24/428,568.48
  6. Step 6: Final answer
    x = 258,567.30

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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.