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Finding the Fourth Proportional to 865,754,311.37, 1,194,708,942.08 and 469,268,788.28

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Solution

The fourth proportional to 865,754,311.37, 1,194,708,942.08 and 469,268,788.28 is: 647,573,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,311.37 : 1,194,708,942.08 = 469,268,788.28 : x
  2. Step 2: Convert to fraction form
    865,754,311.37/1,194,708,942.08 = 469,268,788.28/x
  3. Step 3: Cross multiply
    865,754,311.37x = 1,194,708,942.08 × 469,268,788.28
  4. Step 4: Simplify right side
    865,754,311.37x = 560,639,617,597,339,840
  5. Step 5: Solve for x
    x = 560,639,617,597,339,840/865,754,311.37
  6. Step 6: Final answer
    x = 647,573,578.60

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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.