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Finding the Fourth Proportional to 460,771.80, 635,788.02 and 256,778.01

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Solution

The fourth proportional to 460,771.80, 635,788.02 and 256,778.01 is: 354,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,771.80 : 635,788.02 = 256,778.01 : x
  2. Step 2: Convert to fraction form
    460,771.80/635,788.02 = 256,778.01/x
  3. Step 3: Cross multiply
    460,771.80x = 635,788.02 × 256,778.01
  4. Step 4: Simplify right side
    460,771.80x = 163,256,382,557.44
  5. Step 5: Solve for x
    x = 163,256,382,557.44/460,771.80
  6. Step 6: Final answer
    x = 354,310.71

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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.