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Finding the Fourth Proportional to 420,369.87, 630,537.17 and 195,653.01

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Solution

The fourth proportional to 420,369.87, 630,537.17 and 195,653.01 is: 293,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,369.87 : 630,537.17 = 195,653.01 : x
  2. Step 2: Convert to fraction form
    420,369.87/630,537.17 = 195,653.01/x
  3. Step 3: Cross multiply
    420,369.87x = 630,537.17 × 195,653.01
  4. Step 4: Simplify right side
    420,369.87x = 123,366,494,249.12
  5. Step 5: Solve for x
    x = 123,366,494,249.12/420,369.87
  6. Step 6: Final answer
    x = 293,471.30

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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.