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Finding the Fourth Proportional to 785,713, 1,084,283.94 and 428,017

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Solution

The fourth proportional to 785,713, 1,084,283.94 and 428,017 is: 590,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,713 : 1,084,283.94 = 428,017 : x
  2. Step 2: Convert to fraction form
    785,713/1,084,283.94 = 428,017/x
  3. Step 3: Cross multiply
    785,713x = 1,084,283.94 × 428,017
  4. Step 4: Simplify right side
    785,713x = 464,091,959,146.98
  5. Step 5: Solve for x
    x = 464,091,959,146.98/785,713
  6. Step 6: Final answer
    x = 590,663.46

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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.