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Finding the Fourth Proportional to 777,800, 1,073,364.72 and 420,104

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Solution

The fourth proportional to 777,800, 1,073,364.72 and 420,104 is: 579,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,800 : 1,073,364.72 = 420,104 : x
  2. Step 2: Convert to fraction form
    777,800/1,073,364.72 = 420,104/x
  3. Step 3: Cross multiply
    777,800x = 1,073,364.72 × 420,104
  4. Step 4: Simplify right side
    777,800x = 450,924,812,330.88
  5. Step 5: Solve for x
    x = 450,924,812,330.88/777,800
  6. Step 6: Final answer
    x = 579,743.91

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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.