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Finding the Fourth Proportional to 523,439,728.46, 722,375,232.10 and 300,419,627.06

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Solution

The fourth proportional to 523,439,728.46, 722,375,232.10 and 300,419,627.06 is: 414,595,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,439,728.46 : 722,375,232.10 = 300,419,627.06 : x
  2. Step 2: Convert to fraction form
    523,439,728.46/722,375,232.10 = 300,419,627.06/x
  3. Step 3: Cross multiply
    523,439,728.46x = 722,375,232.10 × 300,419,627.06
  4. Step 4: Simplify right side
    523,439,728.46x = 217,015,697,824,862,944
  5. Step 5: Solve for x
    x = 217,015,697,824,862,944/523,439,728.46
  6. Step 6: Final answer
    x = 414,595,388.97

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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.