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Finding the Fourth Proportional to 505,507.20, 758,050.24 and 205,784.48

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Solution

The fourth proportional to 505,507.20, 758,050.24 and 205,784.48 is: 308,591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,507.20 : 758,050.24 = 205,784.48 : x
  2. Step 2: Convert to fraction form
    505,507.20/758,050.24 = 205,784.48/x
  3. Step 3: Cross multiply
    505,507.20x = 758,050.24 × 205,784.48
  4. Step 4: Simplify right side
    505,507.20x = 155,994,974,452.28
  5. Step 5: Solve for x
    x = 155,994,974,452.28/505,507.20
  6. Step 6: Final answer
    x = 308,591.00

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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.