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Finding the Fourth Proportional to 501,211.44, 691,703.28 and 274,857

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Solution

The fourth proportional to 501,211.44, 691,703.28 and 274,857 is: 379,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,211.44 : 691,703.28 = 274,857 : x
  2. Step 2: Convert to fraction form
    501,211.44/691,703.28 = 274,857/x
  3. Step 3: Cross multiply
    501,211.44x = 691,703.28 × 274,857
  4. Step 4: Simplify right side
    501,211.44x = 190,119,488,430.96
  5. Step 5: Solve for x
    x = 190,119,488,430.96/501,211.44
  6. Step 6: Final answer
    x = 379,319.93

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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.