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Finding the Fourth Proportional to 501,282, 691,801.97 and 274,927.50

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Solution

The fourth proportional to 501,282, 691,801.97 and 274,927.50 is: 379,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,282 : 691,801.97 = 274,927.50 : x
  2. Step 2: Convert to fraction form
    501,282/691,801.97 = 274,927.50/x
  3. Step 3: Cross multiply
    501,282x = 691,801.97 × 274,927.50
  4. Step 4: Simplify right side
    501,282x = 190,195,384,732.54
  5. Step 5: Solve for x
    x = 190,195,384,732.54/501,282
  6. Step 6: Final answer
    x = 379,417.94

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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.