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Finding the Fourth Proportional to 428,347.27, 591,387.93 and 275,650.78

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Solution

The fourth proportional to 428,347.27, 591,387.93 and 275,650.78 is: 380,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,347.27 : 591,387.93 = 275,650.78 : x
  2. Step 2: Convert to fraction form
    428,347.27/591,387.93 = 275,650.78/x
  3. Step 3: Cross multiply
    428,347.27x = 591,387.93 × 275,650.78
  4. Step 4: Simplify right side
    428,347.27x = 163,016,542,708.62
  5. Step 5: Solve for x
    x = 163,016,542,708.62/428,347.27
  6. Step 6: Final answer
    x = 380,570.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.