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Finding the Fourth Proportional to 505,661.80, 757,974.30 and 295,191.40

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Solution

The fourth proportional to 505,661.80, 757,974.30 and 295,191.40 is: 442,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,661.80 : 757,974.30 = 295,191.40 : x
  2. Step 2: Convert to fraction form
    505,661.80/757,974.30 = 295,191.40/x
  3. Step 3: Cross multiply
    505,661.80x = 757,974.30 × 295,191.40
  4. Step 4: Simplify right side
    505,661.80x = 223,747,494,781.02
  5. Step 5: Solve for x
    x = 223,747,494,781.02/505,661.80
  6. Step 6: Final answer
    x = 442,484.47

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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.