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Finding the Fourth Proportional to 428,609.52, 642,962.16 and 175,879.68

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Solution

The fourth proportional to 428,609.52, 642,962.16 and 175,879.68 is: 263,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,609.52 : 642,962.16 = 175,879.68 : x
  2. Step 2: Convert to fraction form
    428,609.52/642,962.16 = 175,879.68/x
  3. Step 3: Cross multiply
    428,609.52x = 642,962.16 × 175,879.68
  4. Step 4: Simplify right side
    428,609.52x = 113,083,978,952.91
  5. Step 5: Solve for x
    x = 113,083,978,952.91/428,609.52
  6. Step 6: Final answer
    x = 263,839.17

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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.