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Finding the Fourth Proportional to 431,756.56, 647,634.80 and 116,205.24

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Solution

The fourth proportional to 431,756.56, 647,634.80 and 116,205.24 is: 174,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,756.56 : 647,634.80 = 116,205.24 : x
  2. Step 2: Convert to fraction form
    431,756.56/647,634.80 = 116,205.24/x
  3. Step 3: Cross multiply
    431,756.56x = 647,634.80 × 116,205.24
  4. Step 4: Simplify right side
    431,756.56x = 75,258,557,366.35
  5. Step 5: Solve for x
    x = 75,258,557,366.35/431,756.56
  6. Step 6: Final answer
    x = 174,307.85

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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.