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Finding the Fourth Proportional to 785,907, 1,084,551.66 and 428,211

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Solution

The fourth proportional to 785,907, 1,084,551.66 and 428,211 is: 590,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,907 : 1,084,551.66 = 428,211 : x
  2. Step 2: Convert to fraction form
    785,907/1,084,551.66 = 428,211/x
  3. Step 3: Cross multiply
    785,907x = 1,084,551.66 × 428,211
  4. Step 4: Simplify right side
    785,907x = 464,416,950,880.26
  5. Step 5: Solve for x
    x = 464,416,950,880.26/785,907
  6. Step 6: Final answer
    x = 590,931.18

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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.