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Finding the Fourth Proportional to 777,808, 1,073,375.76 and 420,112

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Solution

The fourth proportional to 777,808, 1,073,375.76 and 420,112 is: 579,754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,808 : 1,073,375.76 = 420,112 : x
  2. Step 2: Convert to fraction form
    777,808/1,073,375.76 = 420,112/x
  3. Step 3: Cross multiply
    777,808x = 1,073,375.76 × 420,112
  4. Step 4: Simplify right side
    777,808x = 450,938,037,285.12
  5. Step 5: Solve for x
    x = 450,938,037,285.12/777,808
  6. Step 6: Final answer
    x = 579,754.95

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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.