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Finding the Fourth Proportional to 645,115.30, 967,344.90 and 378,957.40

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Solution

The fourth proportional to 645,115.30, 967,344.90 and 378,957.40 is: 568,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,115.30 : 967,344.90 = 378,957.40 : x
  2. Step 2: Convert to fraction form
    645,115.30/967,344.90 = 378,957.40/x
  3. Step 3: Cross multiply
    645,115.30x = 967,344.90 × 378,957.40
  4. Step 4: Simplify right side
    645,115.30x = 366,582,508,207.26
  5. Step 5: Solve for x
    x = 366,582,508,207.26/645,115.30
  6. Step 6: Final answer
    x = 568,243.39

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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.