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Finding the Fourth Proportional to 777,604, 1,073,093.52 and 419,908

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Solution

The fourth proportional to 777,604, 1,073,093.52 and 419,908 is: 579,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,604 : 1,073,093.52 = 419,908 : x
  2. Step 2: Convert to fraction form
    777,604/1,073,093.52 = 419,908/x
  3. Step 3: Cross multiply
    777,604x = 1,073,093.52 × 419,908
  4. Step 4: Simplify right side
    777,604x = 450,600,553,796.16
  5. Step 5: Solve for x
    x = 450,600,553,796.16/777,604
  6. Step 6: Final answer
    x = 579,473.04

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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.