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Finding the Fourth Proportional to 500,174.63, 690,241.02 and 273,820.13

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Solution

The fourth proportional to 500,174.63, 690,241.02 and 273,820.13 is: 377,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,174.63 : 690,241.02 = 273,820.13 : x
  2. Step 2: Convert to fraction form
    500,174.63/690,241.02 = 273,820.13/x
  3. Step 3: Cross multiply
    500,174.63x = 690,241.02 × 273,820.13
  4. Step 4: Simplify right side
    500,174.63x = 189,001,882,376.53
  5. Step 5: Solve for x
    x = 189,001,882,376.53/500,174.63
  6. Step 6: Final answer
    x = 377,871.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.