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Finding the Fourth Proportional to 777,764, 1,166,762.64 and 279,244.64

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Solution

The fourth proportional to 777,764, 1,166,762.64 and 279,244.64 is: 418,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,764 : 1,166,762.64 = 279,244.64 : x
  2. Step 2: Convert to fraction form
    777,764/1,166,762.64 = 279,244.64/x
  3. Step 3: Cross multiply
    777,764x = 1,166,762.64 × 279,244.64
  4. Step 4: Simplify right side
    777,764x = 325,812,213,372.25
  5. Step 5: Solve for x
    x = 325,812,213,372.25/777,764
  6. Step 6: Final answer
    x = 418,908.84

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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.