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Finding the Fourth Proportional to 785,652, 1,084,199.76 and 427,956

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Solution

The fourth proportional to 785,652, 1,084,199.76 and 427,956 is: 590,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,652 : 1,084,199.76 = 427,956 : x
  2. Step 2: Convert to fraction form
    785,652/1,084,199.76 = 427,956/x
  3. Step 3: Cross multiply
    785,652x = 1,084,199.76 × 427,956
  4. Step 4: Simplify right side
    785,652x = 463,989,792,490.56
  5. Step 5: Solve for x
    x = 463,989,792,490.56/785,652
  6. Step 6: Final answer
    x = 590,579.28

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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.