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Finding the Fourth Proportional to 505,380.20, 758,041.13 and 305,646.95

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Solution

The fourth proportional to 505,380.20, 758,041.13 and 305,646.95 is: 458,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,380.20 : 758,041.13 = 305,646.95 : x
  2. Step 2: Convert to fraction form
    505,380.20/758,041.13 = 305,646.95/x
  3. Step 3: Cross multiply
    505,380.20x = 758,041.13 × 305,646.95
  4. Step 4: Simplify right side
    505,380.20x = 231,692,962,018.27
  5. Step 5: Solve for x
    x = 231,692,962,018.27/505,380.20
  6. Step 6: Final answer
    x = 458,452.79

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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.