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Finding the Fourth Proportional to 420,295.12, 630,087.84 and 195,539.52

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Solution

The fourth proportional to 420,295.12, 630,087.84 and 195,539.52 is: 293,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,295.12 : 630,087.84 = 195,539.52 : x
  2. Step 2: Convert to fraction form
    420,295.12/630,087.84 = 195,539.52/x
  3. Step 3: Cross multiply
    420,295.12x = 630,087.84 × 195,539.52
  4. Step 4: Simplify right side
    420,295.12x = 123,207,073,791.44
  5. Step 5: Solve for x
    x = 123,207,073,791.44/420,295.12
  6. Step 6: Final answer
    x = 293,144.19

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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.