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Finding the Fourth Proportional to 420,593.86, 580,418.97 and 269,690.50

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Solution

The fourth proportional to 420,593.86, 580,418.97 and 269,690.50 is: 372,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,593.86 : 580,418.97 = 269,690.50 : x
  2. Step 2: Convert to fraction form
    420,593.86/580,418.97 = 269,690.50/x
  3. Step 3: Cross multiply
    420,593.86x = 580,418.97 × 269,690.50
  4. Step 4: Simplify right side
    420,593.86x = 156,533,482,228.79
  5. Step 5: Solve for x
    x = 156,533,482,228.79/420,593.86
  6. Step 6: Final answer
    x = 372,172.53

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1.5x scale

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.