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Finding the Fourth Proportional to 505,008.52, 757,069.23 and 205,740.81

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Solution

The fourth proportional to 505,008.52, 757,069.23 and 205,740.81 is: 308,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,008.52 : 757,069.23 = 205,740.81 : x
  2. Step 2: Convert to fraction form
    505,008.52/757,069.23 = 205,740.81/x
  3. Step 3: Cross multiply
    505,008.52x = 757,069.23 × 205,740.81
  4. Step 4: Simplify right side
    505,008.52x = 155,760,037,377.80
  5. Step 5: Solve for x
    x = 155,760,037,377.80/505,008.52
  6. Step 6: Final answer
    x = 308,430.51

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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.