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Finding the Fourth Proportional to 851,360, 1,174,884.90 and 469,400.46

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Solution

The fourth proportional to 851,360, 1,174,884.90 and 469,400.46 is: 647,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,360 : 1,174,884.90 = 469,400.46 : x
  2. Step 2: Convert to fraction form
    851,360/1,174,884.90 = 469,400.46/x
  3. Step 3: Cross multiply
    851,360x = 1,174,884.90 × 469,400.46
  4. Step 4: Simplify right side
    851,360x = 551,491,512,507.05
  5. Step 5: Solve for x
    x = 551,491,512,507.05/851,360
  6. Step 6: Final answer
    x = 647,777.10

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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.