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Finding the Fourth Proportional to 431,336.10, 647,004.15 and 378,848.10

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Solution

The fourth proportional to 431,336.10, 647,004.15 and 378,848.10 is: 568,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,336.10 : 647,004.15 = 378,848.10 : x
  2. Step 2: Convert to fraction form
    431,336.10/647,004.15 = 378,848.10/x
  3. Step 3: Cross multiply
    431,336.10x = 647,004.15 × 378,848.10
  4. Step 4: Simplify right side
    431,336.10x = 245,116,292,919.62
  5. Step 5: Solve for x
    x = 245,116,292,919.62/431,336.10
  6. Step 6: Final answer
    x = 568,272.15

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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.