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Finding the Fourth Proportional to 501,086.61, 691,469.76 and 297,156.78

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Solution

The fourth proportional to 501,086.61, 691,469.76 and 297,156.78 is: 410,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,086.61 : 691,469.76 = 297,156.78 : x
  2. Step 2: Convert to fraction form
    501,086.61/691,469.76 = 297,156.78/x
  3. Step 3: Cross multiply
    501,086.61x = 691,469.76 × 297,156.78
  4. Step 4: Simplify right side
    501,086.61x = 205,474,927,348.97
  5. Step 5: Solve for x
    x = 205,474,927,348.97/501,086.61
  6. Step 6: Final answer
    x = 410,058.71

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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.