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Finding the Fourth Proportional to 785,908, 1,084,553.04 and 428,212

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Solution

The fourth proportional to 785,908, 1,084,553.04 and 428,212 is: 590,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,908 : 1,084,553.04 = 428,212 : x
  2. Step 2: Convert to fraction form
    785,908/1,084,553.04 = 428,212/x
  3. Step 3: Cross multiply
    785,908x = 1,084,553.04 × 428,212
  4. Step 4: Simplify right side
    785,908x = 464,418,626,364.48
  5. Step 5: Solve for x
    x = 464,418,626,364.48/785,908
  6. Step 6: Final answer
    x = 590,932.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.