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Finding the Fourth Proportional to 420,343.92, 630,673.62 and 251,984.21

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Solution

The fourth proportional to 420,343.92, 630,673.62 and 251,984.21 is: 378,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,343.92 : 630,673.62 = 251,984.21 : x
  2. Step 2: Convert to fraction form
    420,343.92/630,673.62 = 251,984.21/x
  3. Step 3: Cross multiply
    420,343.92x = 630,673.62 × 251,984.21
  4. Step 4: Simplify right side
    420,343.92x = 158,919,790,750.17
  5. Step 5: Solve for x
    x = 158,919,790,750.17/420,343.92
  6. Step 6: Final answer
    x = 378,070.87

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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.