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Finding the Fourth Proportional to 431,966.21, 647,905.56 and 116,455.01

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Solution

The fourth proportional to 431,966.21, 647,905.56 and 116,455.01 is: 174,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,966.21 : 647,905.56 = 116,455.01 : x
  2. Step 2: Convert to fraction form
    431,966.21/647,905.56 = 116,455.01/x
  3. Step 3: Cross multiply
    431,966.21x = 647,905.56 × 116,455.01
  4. Step 4: Simplify right side
    431,966.21x = 75,451,845,229.33
  5. Step 5: Solve for x
    x = 75,451,845,229.33/431,966.21
  6. Step 6: Final answer
    x = 174,670.71

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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.