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Finding the Fourth Proportional to 501,006.80, 691,415.88 and 274,661.84

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Solution

The fourth proportional to 501,006.80, 691,415.88 and 274,661.84 is: 379,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,006.80 : 691,415.88 = 274,661.84 : x
  2. Step 2: Convert to fraction form
    501,006.80/691,415.88 = 274,661.84/x
  3. Step 3: Cross multiply
    501,006.80x = 691,415.88 × 274,661.84
  4. Step 4: Simplify right side
    501,006.80x = 189,905,557,806.02
  5. Step 5: Solve for x
    x = 189,905,557,806.02/501,006.80
  6. Step 6: Final answer
    x = 379,047.86

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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.