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Finding the Fourth Proportional to 777,801, 1,073,366.10 and 420,105

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Solution

The fourth proportional to 777,801, 1,073,366.10 and 420,105 is: 579,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,801 : 1,073,366.10 = 420,105 : x
  2. Step 2: Convert to fraction form
    777,801/1,073,366.10 = 420,105/x
  3. Step 3: Cross multiply
    777,801x = 1,073,366.10 × 420,105
  4. Step 4: Simplify right side
    777,801x = 450,926,465,440.50
  5. Step 5: Solve for x
    x = 450,926,465,440.50/777,801
  6. Step 6: Final answer
    x = 579,745.29

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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.