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Finding the Fourth Proportional to 785,902, 1,084,544.82 and 428,206

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Solution

The fourth proportional to 785,902, 1,084,544.82 and 428,206 is: 590,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,902 : 1,084,544.82 = 428,206 : x
  2. Step 2: Convert to fraction form
    785,902/1,084,544.82 = 428,206/x
  3. Step 3: Cross multiply
    785,902x = 1,084,544.82 × 428,206
  4. Step 4: Simplify right side
    785,902x = 464,408,599,192.92
  5. Step 5: Solve for x
    x = 464,408,599,192.92/785,902
  6. Step 6: Final answer
    x = 590,924.31

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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.