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Finding the Fourth Proportional to 503,878.41, 755,812.92 and 204,287.77

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Solution

The fourth proportional to 503,878.41, 755,812.92 and 204,287.77 is: 306,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,878.41 : 755,812.92 = 204,287.77 : x
  2. Step 2: Convert to fraction form
    503,878.41/755,812.92 = 204,287.77/x
  3. Step 3: Cross multiply
    503,878.41x = 755,812.92 × 204,287.77
  4. Step 4: Simplify right side
    503,878.41x = 154,403,338,076.88
  5. Step 5: Solve for x
    x = 154,403,338,076.88/503,878.41
  6. Step 6: Final answer
    x = 306,429.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.