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Finding the Fourth Proportional to 645,762.78, 967,310.10 and 378,719.15

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Solution

The fourth proportional to 645,762.78, 967,310.10 and 378,719.15 is: 567,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,762.78 : 967,310.10 = 378,719.15 : x
  2. Step 2: Convert to fraction form
    645,762.78/967,310.10 = 378,719.15/x
  3. Step 3: Cross multiply
    645,762.78x = 967,310.10 × 378,719.15
  4. Step 4: Simplify right side
    645,762.78x = 366,338,854,021.87
  5. Step 5: Solve for x
    x = 366,338,854,021.87/645,762.78
  6. Step 6: Final answer
    x = 567,296.33

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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.