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Finding the Fourth Proportional to 503,728.65, 755,588.39 and 204,138

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Solution

The fourth proportional to 503,728.65, 755,588.39 and 204,138 is: 306,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,728.65 : 755,588.39 = 204,138 : x
  2. Step 2: Convert to fraction form
    503,728.65/755,588.39 = 204,138/x
  3. Step 3: Cross multiply
    503,728.65x = 755,588.39 × 204,138
  4. Step 4: Simplify right side
    503,728.65x = 154,244,301,737.13
  5. Step 5: Solve for x
    x = 154,244,301,737.13/503,728.65
  6. Step 6: Final answer
    x = 306,205.14

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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.