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Finding the Fourth Proportional to 785,774, 1,084,368.12 and 428,078

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Solution

The fourth proportional to 785,774, 1,084,368.12 and 428,078 is: 590,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,774 : 1,084,368.12 = 428,078 : x
  2. Step 2: Convert to fraction form
    785,774/1,084,368.12 = 428,078/x
  3. Step 3: Cross multiply
    785,774x = 1,084,368.12 × 428,078
  4. Step 4: Simplify right side
    785,774x = 464,194,136,073.36
  5. Step 5: Solve for x
    x = 464,194,136,073.36/785,774
  6. Step 6: Final answer
    x = 590,747.64

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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.