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Finding the Fourth Proportional to 490,716.60, 736,074.90 and 420,732.60

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Solution

The fourth proportional to 490,716.60, 736,074.90 and 420,732.60 is: 631,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,716.60 : 736,074.90 = 420,732.60 : x
  2. Step 2: Convert to fraction form
    490,716.60/736,074.90 = 420,732.60/x
  3. Step 3: Cross multiply
    490,716.60x = 736,074.90 × 420,732.60
  4. Step 4: Simplify right side
    490,716.60x = 309,690,706,471.74
  5. Step 5: Solve for x
    x = 309,690,706,471.74/490,716.60
  6. Step 6: Final answer
    x = 631,098.90

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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.