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Finding the Fourth Proportional to 431,548.08, 647,298.53 and 132,028.64

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Solution

The fourth proportional to 431,548.08, 647,298.53 and 132,028.64 is: 198,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,548.08 : 647,298.53 = 132,028.64 : x
  2. Step 2: Convert to fraction form
    431,548.08/647,298.53 = 132,028.64/x
  3. Step 3: Cross multiply
    431,548.08x = 647,298.53 × 132,028.64
  4. Step 4: Simplify right side
    431,548.08x = 85,461,940,693.26
  5. Step 5: Solve for x
    x = 85,461,940,693.26/431,548.08
  6. Step 6: Final answer
    x = 198,035.73

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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.