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Finding the Fourth Proportional to 765,047.62, 1,055,751 and 420,863.44

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Solution

The fourth proportional to 765,047.62, 1,055,751 and 420,863.44 is: 580,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,047.62 : 1,055,751 = 420,863.44 : x
  2. Step 2: Convert to fraction form
    765,047.62/1,055,751 = 420,863.44/x
  3. Step 3: Cross multiply
    765,047.62x = 1,055,751 × 420,863.44
  4. Step 4: Simplify right side
    765,047.62x = 444,326,997,643.44
  5. Step 5: Solve for x
    x = 444,326,997,643.44/765,047.62
  6. Step 6: Final answer
    x = 580,783.45

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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.