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Finding the Fourth Proportional to 420,098.88, 630,242 and 120,556.11

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Solution

The fourth proportional to 420,098.88, 630,242 and 120,556.11 is: 180,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,098.88 : 630,242 = 120,556.11 : x
  2. Step 2: Convert to fraction form
    420,098.88/630,242 = 120,556.11/x
  3. Step 3: Cross multiply
    420,098.88x = 630,242 × 120,556.11
  4. Step 4: Simplify right side
    420,098.88x = 75,979,523,878.62
  5. Step 5: Solve for x
    x = 75,979,523,878.62/420,098.88
  6. Step 6: Final answer
    x = 180,861.05

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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.