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Finding the Fourth Proportional to 764,442, 1,054,930.62 and 420,283.78

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Solution

The fourth proportional to 764,442, 1,054,930.62 and 420,283.78 is: 579,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,442 : 1,054,930.62 = 420,283.78 : x
  2. Step 2: Convert to fraction form
    764,442/1,054,930.62 = 420,283.78/x
  3. Step 3: Cross multiply
    764,442x = 1,054,930.62 × 420,283.78
  4. Step 4: Simplify right side
    764,442x = 443,370,228,611.34
  5. Step 5: Solve for x
    x = 443,370,228,611.34/764,442
  6. Step 6: Final answer
    x = 579,991.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.