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Finding the Fourth Proportional to 431,315.75, 647,093.64 and 188,178.08

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Solution

The fourth proportional to 431,315.75, 647,093.64 and 188,178.08 is: 282,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,315.75 : 647,093.64 = 188,178.08 : x
  2. Step 2: Convert to fraction form
    431,315.75/647,093.64 = 188,178.08/x
  3. Step 3: Cross multiply
    431,315.75x = 647,093.64 × 188,178.08
  4. Step 4: Simplify right side
    431,315.75x = 121,768,839,013.59
  5. Step 5: Solve for x
    x = 121,768,839,013.59/431,315.75
  6. Step 6: Final answer
    x = 282,319.48

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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.