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Finding the Fourth Proportional to 722,296,310.40, 996,854,001.12 and 428,940,878.40

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Solution

The fourth proportional to 722,296,310.40, 996,854,001.12 and 428,940,878.40 is: 591,988,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,296,310.40 : 996,854,001.12 = 428,940,878.40 : x
  2. Step 2: Convert to fraction form
    722,296,310.40/996,854,001.12 = 428,940,878.40/x
  3. Step 3: Cross multiply
    722,296,310.40x = 996,854,001.12 × 428,940,878.40
  4. Step 4: Simplify right side
    722,296,310.40x = 427,591,430,876,967,360
  5. Step 5: Solve for x
    x = 427,591,430,876,967,360/722,296,310.40
  6. Step 6: Final answer
    x = 591,988,945.15

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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.