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Finding the Fourth Proportional to 509,620.20, 764,430.30 and 454,507.80

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Solution

The fourth proportional to 509,620.20, 764,430.30 and 454,507.80 is: 681,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,620.20 : 764,430.30 = 454,507.80 : x
  2. Step 2: Convert to fraction form
    509,620.20/764,430.30 = 454,507.80/x
  3. Step 3: Cross multiply
    509,620.20x = 764,430.30 × 454,507.80
  4. Step 4: Simplify right side
    509,620.20x = 347,439,533,906.34
  5. Step 5: Solve for x
    x = 347,439,533,906.34/509,620.20
  6. Step 6: Final answer
    x = 681,761.70

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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.