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Finding the Fourth Proportional to 647,516.80, 971,712.60 and 422,328.70

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Solution

The fourth proportional to 647,516.80, 971,712.60 and 422,328.70 is: 633,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,516.80 : 971,712.60 = 422,328.70 : x
  2. Step 2: Convert to fraction form
    647,516.80/971,712.60 = 422,328.70/x
  3. Step 3: Cross multiply
    647,516.80x = 971,712.60 × 422,328.70
  4. Step 4: Simplify right side
    647,516.80x = 410,382,119,131.62
  5. Step 5: Solve for x
    x = 410,382,119,131.62/647,516.80
  6. Step 6: Final answer
    x = 633,778.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.