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Finding the Fourth Proportional to 420,634.20, 630,720.90 and 171,034.20

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Solution

The fourth proportional to 420,634.20, 630,720.90 and 171,034.20 is: 256,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,634.20 : 630,720.90 = 171,034.20 : x
  2. Step 2: Convert to fraction form
    420,634.20/630,720.90 = 171,034.20/x
  3. Step 3: Cross multiply
    420,634.20x = 630,720.90 × 171,034.20
  4. Step 4: Simplify right side
    420,634.20x = 107,874,844,554.78
  5. Step 5: Solve for x
    x = 107,874,844,554.78/420,634.20
  6. Step 6: Final answer
    x = 256,457.62

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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.