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Finding the Fourth Proportional to 785,706, 1,084,274.28 and 428,010

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Solution

The fourth proportional to 785,706, 1,084,274.28 and 428,010 is: 590,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,706 : 1,084,274.28 = 428,010 : x
  2. Step 2: Convert to fraction form
    785,706/1,084,274.28 = 428,010/x
  3. Step 3: Cross multiply
    785,706x = 1,084,274.28 × 428,010
  4. Step 4: Simplify right side
    785,706x = 464,080,234,582.80
  5. Step 5: Solve for x
    x = 464,080,234,582.80/785,706
  6. Step 6: Final answer
    x = 590,653.80

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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.