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Finding the Fourth Proportional to 501,305.76, 691,812.72 and 274,950.72

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Solution

The fourth proportional to 501,305.76, 691,812.72 and 274,950.72 is: 379,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,305.76 : 691,812.72 = 274,950.72 : x
  2. Step 2: Convert to fraction form
    501,305.76/691,812.72 = 274,950.72/x
  3. Step 3: Cross multiply
    501,305.76x = 691,812.72 × 274,950.72
  4. Step 4: Simplify right side
    501,305.76x = 190,214,405,469.16
  5. Step 5: Solve for x
    x = 190,214,405,469.16/501,305.76
  6. Step 6: Final answer
    x = 379,437.90

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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.