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Finding the Fourth Proportional to 428,513.79, 642,851.91 and 172,365.96

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Solution

The fourth proportional to 428,513.79, 642,851.91 and 172,365.96 is: 258,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,513.79 : 642,851.91 = 172,365.96 : x
  2. Step 2: Convert to fraction form
    428,513.79/642,851.91 = 172,365.96/x
  3. Step 3: Cross multiply
    428,513.79x = 642,851.91 × 172,365.96
  4. Step 4: Simplify right side
    428,513.79x = 110,805,786,604.98
  5. Step 5: Solve for x
    x = 110,805,786,604.98/428,513.79
  6. Step 6: Final answer
    x = 258,581.61

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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.