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Finding the Fourth Proportional to 420,633.14, 630,424.82 and 210,331.22

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Solution

The fourth proportional to 420,633.14, 630,424.82 and 210,331.22 is: 315,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,633.14 : 630,424.82 = 210,331.22 : x
  2. Step 2: Convert to fraction form
    420,633.14/630,424.82 = 210,331.22/x
  3. Step 3: Cross multiply
    420,633.14x = 630,424.82 × 210,331.22
  4. Step 4: Simplify right side
    420,633.14x = 132,598,018,882.58
  5. Step 5: Solve for x
    x = 132,598,018,882.58/420,633.14
  6. Step 6: Final answer
    x = 315,234.36

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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.