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Finding the Fourth Proportional to 420,732.63, 630,656.07 and 252,344.56

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Solution

The fourth proportional to 420,732.63, 630,656.07 and 252,344.56 is: 378,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,732.63 : 630,656.07 = 252,344.56 : x
  2. Step 2: Convert to fraction form
    420,732.63/630,656.07 = 252,344.56/x
  3. Step 3: Cross multiply
    420,732.63x = 630,656.07 × 252,344.56
  4. Step 4: Simplify right side
    420,732.63x = 159,142,628,495.48
  5. Step 5: Solve for x
    x = 159,142,628,495.48/420,732.63
  6. Step 6: Final answer
    x = 378,251.22

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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.