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Finding the Fourth Proportional to 431,682.08, 647,128.68 and 151,046.24

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Solution

The fourth proportional to 431,682.08, 647,128.68 and 151,046.24 is: 226,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,682.08 : 647,128.68 = 151,046.24 : x
  2. Step 2: Convert to fraction form
    431,682.08/647,128.68 = 151,046.24/x
  3. Step 3: Cross multiply
    431,682.08x = 647,128.68 × 151,046.24
  4. Step 4: Simplify right side
    431,682.08x = 97,746,353,910.16
  5. Step 5: Solve for x
    x = 97,746,353,910.16/431,682.08
  6. Step 6: Final answer
    x = 226,431.34

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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.