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Finding the Fourth Proportional to 420,731.63, 630,654.57 and 252,343.56

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Solution

The fourth proportional to 420,731.63, 630,654.57 and 252,343.56 is: 378,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,731.63 : 630,654.57 = 252,343.56 : x
  2. Step 2: Convert to fraction form
    420,731.63/630,654.57 = 252,343.56/x
  3. Step 3: Cross multiply
    420,731.63x = 630,654.57 × 252,343.56
  4. Step 4: Simplify right side
    420,731.63x = 159,141,619,324.07
  5. Step 5: Solve for x
    x = 159,141,619,324.07/420,731.63
  6. Step 6: Final answer
    x = 378,249.72

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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.