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Finding the Fourth Proportional to 253,449,076.80, 380,079,136.80 and 100,063,394.40

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Solution

The fourth proportional to 253,449,076.80, 380,079,136.80 and 100,063,394.40 is: 150,057,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,449,076.80 : 380,079,136.80 = 100,063,394.40 : x
  2. Step 2: Convert to fraction form
    253,449,076.80/380,079,136.80 = 100,063,394.40/x
  3. Step 3: Cross multiply
    253,449,076.80x = 380,079,136.80 × 100,063,394.40
  4. Step 4: Simplify right side
    253,449,076.80x = 38,032,008,568,829,960
  5. Step 5: Solve for x
    x = 38,032,008,568,829,960/253,449,076.80
  6. Step 6: Final answer
    x = 150,057,790.89

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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.