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Finding the Fourth Proportional to 960,339,253.28, 1,324,862,358.78 and 642,901,772.54

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Solution

The fourth proportional to 960,339,253.28, 1,324,862,358.78 and 642,901,772.54 is: 886,932,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,339,253.28 : 1,324,862,358.78 = 642,901,772.54 : x
  2. Step 2: Convert to fraction form
    960,339,253.28/1,324,862,358.78 = 642,901,772.54/x
  3. Step 3: Cross multiply
    960,339,253.28x = 1,324,862,358.78 × 642,901,772.54
  4. Step 4: Simplify right side
    960,339,253.28x = 851,756,358,831,187,328
  5. Step 5: Solve for x
    x = 851,756,358,831,187,328/960,339,253.28
  6. Step 6: Final answer
    x = 886,932,774.98

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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.