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Finding the Fourth Proportional to 785,891, 1,084,529.58 and 428,195

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Solution

The fourth proportional to 785,891, 1,084,529.58 and 428,195 is: 590,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,891 : 1,084,529.58 = 428,195 : x
  2. Step 2: Convert to fraction form
    785,891/1,084,529.58 = 428,195/x
  3. Step 3: Cross multiply
    785,891x = 1,084,529.58 × 428,195
  4. Step 4: Simplify right side
    785,891x = 464,390,143,508.10
  5. Step 5: Solve for x
    x = 464,390,143,508.10/785,891
  6. Step 6: Final answer
    x = 590,909.10

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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.