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Finding the Fourth Proportional to 851,200, 1,174,664.10 and 469,240.48

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Solution

The fourth proportional to 851,200, 1,174,664.10 and 469,240.48 is: 647,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,200 : 1,174,664.10 = 469,240.48 : x
  2. Step 2: Convert to fraction form
    851,200/1,174,664.10 = 469,240.48/x
  3. Step 3: Cross multiply
    851,200x = 1,174,664.10 × 469,240.48
  4. Step 4: Simplify right side
    851,200x = 551,199,946,122.77
  5. Step 5: Solve for x
    x = 551,199,946,122.77/851,200
  6. Step 6: Final answer
    x = 647,556.33

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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.