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Finding the Fourth Proportional to 777,912, 1,073,519.52 and 420,216

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Solution

The fourth proportional to 777,912, 1,073,519.52 and 420,216 is: 579,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,912 : 1,073,519.52 = 420,216 : x
  2. Step 2: Convert to fraction form
    777,912/1,073,519.52 = 420,216/x
  3. Step 3: Cross multiply
    777,912x = 1,073,519.52 × 420,216
  4. Step 4: Simplify right side
    777,912x = 451,110,078,616.32
  5. Step 5: Solve for x
    x = 451,110,078,616.32/777,912
  6. Step 6: Final answer
    x = 579,898.60

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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.