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Finding the Fourth Proportional to 780,177, 1,076,644.26 and 422,481

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Solution

The fourth proportional to 780,177, 1,076,644.26 and 422,481 is: 583,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,177 : 1,076,644.26 = 422,481 : x
  2. Step 2: Convert to fraction form
    780,177/1,076,644.26 = 422,481/x
  3. Step 3: Cross multiply
    780,177x = 1,076,644.26 × 422,481
  4. Step 4: Simplify right side
    780,177x = 454,861,743,609.06
  5. Step 5: Solve for x
    x = 454,861,743,609.06/780,177
  6. Step 6: Final answer
    x = 583,023.78

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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.