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Finding the Fourth Proportional to 785,728, 1,084,304.64 and 428,032

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Solution

The fourth proportional to 785,728, 1,084,304.64 and 428,032 is: 590,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,728 : 1,084,304.64 = 428,032 : x
  2. Step 2: Convert to fraction form
    785,728/1,084,304.64 = 428,032/x
  3. Step 3: Cross multiply
    785,728x = 1,084,304.64 × 428,032
  4. Step 4: Simplify right side
    785,728x = 464,117,083,668.48
  5. Step 5: Solve for x
    x = 464,117,083,668.48/785,728
  6. Step 6: Final answer
    x = 590,684.16

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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.