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Finding the Fourth Proportional to 876,532.64, 1,209,672 and 494,420

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Solution

The fourth proportional to 876,532.64, 1,209,672 and 494,420 is: 682,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,532.64 : 1,209,672 = 494,420 : x
  2. Step 2: Convert to fraction form
    876,532.64/1,209,672 = 494,420/x
  3. Step 3: Cross multiply
    876,532.64x = 1,209,672 × 494,420
  4. Step 4: Simplify right side
    876,532.64x = 598,086,030,240
  5. Step 5: Solve for x
    x = 598,086,030,240/876,532.64
  6. Step 6: Final answer
    x = 682,331.73

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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.