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Finding the Fourth Proportional to 851,085, 1,174,483.26 and 469,147.32

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Solution

The fourth proportional to 851,085, 1,174,483.26 and 469,147.32 is: 647,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,085 : 1,174,483.26 = 469,147.32 : x
  2. Step 2: Convert to fraction form
    851,085/1,174,483.26 = 469,147.32/x
  3. Step 3: Cross multiply
    851,085x = 1,174,483.26 × 469,147.32
  4. Step 4: Simplify right side
    851,085x = 551,005,673,813.86
  5. Step 5: Solve for x
    x = 551,005,673,813.86/851,085
  6. Step 6: Final answer
    x = 647,415.56

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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.