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Finding the Fourth Proportional to 785,772, 1,084,365.36 and 428,076

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Solution

The fourth proportional to 785,772, 1,084,365.36 and 428,076 is: 590,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,772 : 1,084,365.36 = 428,076 : x
  2. Step 2: Convert to fraction form
    785,772/1,084,365.36 = 428,076/x
  3. Step 3: Cross multiply
    785,772x = 1,084,365.36 × 428,076
  4. Step 4: Simplify right side
    785,772x = 464,190,785,847.36
  5. Step 5: Solve for x
    x = 464,190,785,847.36/785,772
  6. Step 6: Final answer
    x = 590,744.88

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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.