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Finding the Fourth Proportional to 785,903, 1,084,546.20 and 428,207

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Solution

The fourth proportional to 785,903, 1,084,546.20 and 428,207 is: 590,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,903 : 1,084,546.20 = 428,207 : x
  2. Step 2: Convert to fraction form
    785,903/1,084,546.20 = 428,207/x
  3. Step 3: Cross multiply
    785,903x = 1,084,546.20 × 428,207
  4. Step 4: Simplify right side
    785,903x = 464,410,274,663.40
  5. Step 5: Solve for x
    x = 464,410,274,663.40/785,903
  6. Step 6: Final answer
    x = 590,925.69

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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.