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Finding the Fourth Proportional to 785,907.90, 1,179,046.17 and 312,620.22

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Solution

The fourth proportional to 785,907.90, 1,179,046.17 and 312,620.22 is: 469,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,907.90 : 1,179,046.17 = 312,620.22 : x
  2. Step 2: Convert to fraction form
    785,907.90/1,179,046.17 = 312,620.22/x
  3. Step 3: Cross multiply
    785,907.90x = 1,179,046.17 × 312,620.22
  4. Step 4: Simplify right side
    785,907.90x = 368,593,673,055.56
  5. Step 5: Solve for x
    x = 368,593,673,055.56/785,907.90
  6. Step 6: Final answer
    x = 469,003.65

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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.