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Finding the Fourth Proportional to 769,956,478.10, 1,062,540,222.23 and 417,532,375.40

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Solution

The fourth proportional to 769,956,478.10, 1,062,540,222.23 and 417,532,375.40 is: 576,194,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,956,478.10 : 1,062,540,222.23 = 417,532,375.40 : x
  2. Step 2: Convert to fraction form
    769,956,478.10/1,062,540,222.23 = 417,532,375.40/x
  3. Step 3: Cross multiply
    769,956,478.10x = 1,062,540,222.23 × 417,532,375.40
  4. Step 4: Simplify right side
    769,956,478.10x = 443,644,942,945,735,744
  5. Step 5: Solve for x
    x = 443,644,942,945,735,744/769,956,478.10
  6. Step 6: Final answer
    x = 576,194,831.22

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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.