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Finding the Fourth Proportional to 275,603,142.40, 413,404,713.60 and 81,497,269.60

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Solution

The fourth proportional to 275,603,142.40, 413,404,713.60 and 81,497,269.60 is: 122,245,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,603,142.40 : 413,404,713.60 = 81,497,269.60 : x
  2. Step 2: Convert to fraction form
    275,603,142.40/413,404,713.60 = 81,497,269.60/x
  3. Step 3: Cross multiply
    275,603,142.40x = 413,404,713.60 × 81,497,269.60
  4. Step 4: Simplify right side
    275,603,142.40x = 33,691,355,398,169,988
  5. Step 5: Solve for x
    x = 33,691,355,398,169,988/275,603,142.40
  6. Step 6: Final answer
    x = 122,245,904.40

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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.