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Finding the Fourth Proportional to 419,965.88, 630,038.11 and 135,672.73

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Solution

The fourth proportional to 419,965.88, 630,038.11 and 135,672.73 is: 203,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,965.88 : 630,038.11 = 135,672.73 : x
  2. Step 2: Convert to fraction form
    419,965.88/630,038.11 = 135,672.73/x
  3. Step 3: Cross multiply
    419,965.88x = 630,038.11 × 135,672.73
  4. Step 4: Simplify right side
    419,965.88x = 85,478,990,387.74
  5. Step 5: Solve for x
    x = 85,478,990,387.74/419,965.88
  6. Step 6: Final answer
    x = 203,537.94

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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.