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Finding the Fourth Proportional to 434,464.80, 651,697.20 and 419,949.60

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Solution

The fourth proportional to 434,464.80, 651,697.20 and 419,949.60 is: 629,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,464.80 : 651,697.20 = 419,949.60 : x
  2. Step 2: Convert to fraction form
    434,464.80/651,697.20 = 419,949.60/x
  3. Step 3: Cross multiply
    434,464.80x = 651,697.20 × 419,949.60
  4. Step 4: Simplify right side
    434,464.80x = 273,679,978,461.12
  5. Step 5: Solve for x
    x = 273,679,978,461.12/434,464.80
  6. Step 6: Final answer
    x = 629,924.40

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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.