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Finding the Fourth Proportional to 499,972,578.72, 689,961,918.65 and 299,029,449.60

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Solution

The fourth proportional to 499,972,578.72, 689,961,918.65 and 299,029,449.60 is: 412,660,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,972,578.72 : 689,961,918.65 = 299,029,449.60 : x
  2. Step 2: Convert to fraction form
    499,972,578.72/689,961,918.65 = 299,029,449.60/x
  3. Step 3: Cross multiply
    499,972,578.72x = 689,961,918.65 × 299,029,449.60
  4. Step 4: Simplify right side
    499,972,578.72x = 206,318,932,778,869,472
  5. Step 5: Solve for x
    x = 206,318,932,778,869,472/499,972,578.72
  6. Step 6: Final answer
    x = 412,660,496.92

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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.