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Finding the Fourth Proportional to 505,749.80, 758,843.40 and 256,431.80

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Solution

The fourth proportional to 505,749.80, 758,843.40 and 256,431.80 is: 384,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,749.80 : 758,843.40 = 256,431.80 : x
  2. Step 2: Convert to fraction form
    505,749.80/758,843.40 = 256,431.80/x
  3. Step 3: Cross multiply
    505,749.80x = 758,843.40 × 256,431.80
  4. Step 4: Simplify right side
    505,749.80x = 194,591,578,980.12
  5. Step 5: Solve for x
    x = 194,591,578,980.12/505,749.80
  6. Step 6: Final answer
    x = 384,758.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.