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Finding the Fourth Proportional to 501,257.98, 691,772.61 and 286,393.44

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Solution

The fourth proportional to 501,257.98, 691,772.61 and 286,393.44 is: 395,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,257.98 : 691,772.61 = 286,393.44 : x
  2. Step 2: Convert to fraction form
    501,257.98/691,772.61 = 286,393.44/x
  3. Step 3: Cross multiply
    501,257.98x = 691,772.61 × 286,393.44
  4. Step 4: Simplify right side
    501,257.98x = 198,119,137,475.68
  5. Step 5: Solve for x
    x = 198,119,137,475.68/501,257.98
  6. Step 6: Final answer
    x = 395,243.86

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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.