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Finding the Fourth Proportional to 647,382,638.43, 970,656,442.88 and 253,949,218.12

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Solution

The fourth proportional to 647,382,638.43, 970,656,442.88 and 253,949,218.12 is: 380,760,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,382,638.43 : 970,656,442.88 = 253,949,218.12 : x
  2. Step 2: Convert to fraction form
    647,382,638.43/970,656,442.88 = 253,949,218.12/x
  3. Step 3: Cross multiply
    647,382,638.43x = 970,656,442.88 × 253,949,218.12
  4. Step 4: Simplify right side
    647,382,638.43x = 246,497,444,730,724,704
  5. Step 5: Solve for x
    x = 246,497,444,730,724,704/647,382,638.43
  6. Step 6: Final answer
    x = 380,760,048.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.