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Finding the Fourth Proportional to 509,622.60, 764,433.90 and 485,128.20

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Solution

The fourth proportional to 509,622.60, 764,433.90 and 485,128.20 is: 727,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,622.60 : 764,433.90 = 485,128.20 : x
  2. Step 2: Convert to fraction form
    509,622.60/764,433.90 = 485,128.20/x
  3. Step 3: Cross multiply
    509,622.60x = 764,433.90 × 485,128.20
  4. Step 4: Simplify right side
    509,622.60x = 370,848,441,925.98
  5. Step 5: Solve for x
    x = 370,848,441,925.98/509,622.60
  6. Step 6: Final answer
    x = 727,692.30

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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.