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Finding the Fourth Proportional to 547,681.40, 755,773.22 and 305,915.80

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Solution

The fourth proportional to 547,681.40, 755,773.22 and 305,915.80 is: 422,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,681.40 : 755,773.22 = 305,915.80 : x
  2. Step 2: Convert to fraction form
    547,681.40/755,773.22 = 305,915.80/x
  3. Step 3: Cross multiply
    547,681.40x = 755,773.22 × 305,915.80
  4. Step 4: Simplify right side
    547,681.40x = 231,202,969,214.88
  5. Step 5: Solve for x
    x = 231,202,969,214.88/547,681.40
  6. Step 6: Final answer
    x = 422,148.66

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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.