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Finding the Fourth Proportional to 1,447,674,750, 1,997,631,301.56 and 812,449,546.80

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Solution

The fourth proportional to 1,447,674,750, 1,997,631,301.56 and 812,449,546.80 is: 1,121,090,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,674,750 : 1,997,631,301.56 = 812,449,546.80 : x
  2. Step 2: Convert to fraction form
    1,447,674,750/1,997,631,301.56 = 812,449,546.80/x
  3. Step 3: Cross multiply
    1,447,674,750x = 1,997,631,301.56 × 812,449,546.80
  4. Step 4: Simplify right side
    1,447,674,750x = 1,622,974,645,625,915,904
  5. Step 5: Solve for x
    x = 1,622,974,645,625,915,904/1,447,674,750
  6. Step 6: Final answer
    x = 1,121,090,663.23

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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.