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Finding the Fourth Proportional to 785,580, 1,084,100.40 and 427,884

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Solution

The fourth proportional to 785,580, 1,084,100.40 and 427,884 is: 590,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,580 : 1,084,100.40 = 427,884 : x
  2. Step 2: Convert to fraction form
    785,580/1,084,100.40 = 427,884/x
  3. Step 3: Cross multiply
    785,580x = 1,084,100.40 × 427,884
  4. Step 4: Simplify right side
    785,580x = 463,869,215,553.60
  5. Step 5: Solve for x
    x = 463,869,215,553.60/785,580
  6. Step 6: Final answer
    x = 590,479.92

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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.