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Finding the Fourth Proportional to 500,725.22, 691,000.80 and 274,365.86

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Solution

The fourth proportional to 500,725.22, 691,000.80 and 274,365.86 is: 378,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,725.22 : 691,000.80 = 274,365.86 : x
  2. Step 2: Convert to fraction form
    500,725.22/691,000.80 = 274,365.86/x
  3. Step 3: Cross multiply
    500,725.22x = 691,000.80 × 274,365.86
  4. Step 4: Simplify right side
    500,725.22x = 189,587,028,917.81
  5. Step 5: Solve for x
    x = 189,587,028,917.81/500,725.22
  6. Step 6: Final answer
    x = 378,624.89

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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.