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Finding the Fourth Proportional to 267,969,772.64, 401,859,535.43 and 78,623,040.20

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Solution

The fourth proportional to 267,969,772.64, 401,859,535.43 and 78,623,040.20 is: 117,906,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,969,772.64 : 401,859,535.43 = 78,623,040.20 : x
  2. Step 2: Convert to fraction form
    267,969,772.64/401,859,535.43 = 78,623,040.20/x
  3. Step 3: Cross multiply
    267,969,772.64x = 401,859,535.43 × 78,623,040.20
  4. Step 4: Simplify right side
    267,969,772.64x = 31,595,418,407,053,472
  5. Step 5: Solve for x
    x = 31,595,418,407,053,472/267,969,772.64
  6. Step 6: Final answer
    x = 117,906,650.80

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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.