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Finding the Fourth Proportional to 420,399, 630,592.58 and 195,633.72

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Solution

The fourth proportional to 420,399, 630,592.58 and 195,633.72 is: 293,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,399 : 630,592.58 = 195,633.72 : x
  2. Step 2: Convert to fraction form
    420,399/630,592.58 = 195,633.72/x
  3. Step 3: Cross multiply
    420,399x = 630,592.58 × 195,633.72
  4. Step 4: Simplify right side
    420,399x = 123,365,171,618.44
  5. Step 5: Solve for x
    x = 123,365,171,618.44/420,399
  6. Step 6: Final answer
    x = 293,447.82

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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.