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Finding the Fourth Proportional to 490,708.60, 736,062.90 and 420,724.60

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Solution

The fourth proportional to 490,708.60, 736,062.90 and 420,724.60 is: 631,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,708.60 : 736,062.90 = 420,724.60 : x
  2. Step 2: Convert to fraction form
    490,708.60/736,062.90 = 420,724.60/x
  3. Step 3: Cross multiply
    490,708.60x = 736,062.90 × 420,724.60
  4. Step 4: Simplify right side
    490,708.60x = 309,679,769,177.34
  5. Step 5: Solve for x
    x = 309,679,769,177.34/490,708.60
  6. Step 6: Final answer
    x = 631,086.90

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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.