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Finding the Fourth Proportional to 501,311.76, 691,821 and 274,956.72

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Solution

The fourth proportional to 501,311.76, 691,821 and 274,956.72 is: 379,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,311.76 : 691,821 = 274,956.72 : x
  2. Step 2: Convert to fraction form
    501,311.76/691,821 = 274,956.72/x
  3. Step 3: Cross multiply
    501,311.76x = 691,821 × 274,956.72
  4. Step 4: Simplify right side
    501,311.76x = 190,220,832,987.12
  5. Step 5: Solve for x
    x = 190,220,832,987.12/501,311.76
  6. Step 6: Final answer
    x = 379,446.18

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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.