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Finding the Fourth Proportional to 500,902.21, 691,273.34 and 297,073.81

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Solution

The fourth proportional to 500,902.21, 691,273.34 and 297,073.81 is: 409,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,902.21 : 691,273.34 = 297,073.81 : x
  2. Step 2: Convert to fraction form
    500,902.21/691,273.34 = 297,073.81/x
  3. Step 3: Cross multiply
    500,902.21x = 691,273.34 × 297,073.81
  4. Step 4: Simplify right side
    500,902.21x = 205,359,204,865.23
  5. Step 5: Solve for x
    x = 205,359,204,865.23/500,902.21
  6. Step 6: Final answer
    x = 409,978.64

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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.