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Finding the Fourth Proportional to 431,338.30, 647,007.45 and 115,827.10

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Solution

The fourth proportional to 431,338.30, 647,007.45 and 115,827.10 is: 173,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,338.30 : 647,007.45 = 115,827.10 : x
  2. Step 2: Convert to fraction form
    431,338.30/647,007.45 = 115,827.10/x
  3. Step 3: Cross multiply
    431,338.30x = 647,007.45 × 115,827.10
  4. Step 4: Simplify right side
    431,338.30x = 74,940,996,611.90
  5. Step 5: Solve for x
    x = 74,940,996,611.90/431,338.30
  6. Step 6: Final answer
    x = 173,740.65

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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.