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Finding the Fourth Proportional to 420,498.44, 580,363.08 and 250,743.50

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Solution

The fourth proportional to 420,498.44, 580,363.08 and 250,743.50 is: 346,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,498.44 : 580,363.08 = 250,743.50 : x
  2. Step 2: Convert to fraction form
    420,498.44/580,363.08 = 250,743.50/x
  3. Step 3: Cross multiply
    420,498.44x = 580,363.08 × 250,743.50
  4. Step 4: Simplify right side
    420,498.44x = 145,522,269,949.98
  5. Step 5: Solve for x
    x = 145,522,269,949.98/420,498.44
  6. Step 6: Final answer
    x = 346,070.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.