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Finding the Fourth Proportional to 420,203.44, 630,310.63 and 139,720.69

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Solution

The fourth proportional to 420,203.44, 630,310.63 and 139,720.69 is: 209,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,203.44 : 630,310.63 = 139,720.69 : x
  2. Step 2: Convert to fraction form
    420,203.44/630,310.63 = 139,720.69/x
  3. Step 3: Cross multiply
    420,203.44x = 630,310.63 × 139,720.69
  4. Step 4: Simplify right side
    420,203.44x = 88,067,436,137.93
  5. Step 5: Solve for x
    x = 88,067,436,137.93/420,203.44
  6. Step 6: Final answer
    x = 209,582.85

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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.