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Finding the Fourth Proportional to 431,658.36, 647,546.64 and 147,272.64

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Solution

The fourth proportional to 431,658.36, 647,546.64 and 147,272.64 is: 220,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,658.36 : 647,546.64 = 147,272.64 : x
  2. Step 2: Convert to fraction form
    431,658.36/647,546.64 = 147,272.64/x
  3. Step 3: Cross multiply
    431,658.36x = 647,546.64 × 147,272.64
  4. Step 4: Simplify right side
    431,658.36x = 95,365,903,195.93
  5. Step 5: Solve for x
    x = 95,365,903,195.93/431,658.36
  6. Step 6: Final answer
    x = 220,929.12

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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.