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Finding the Fourth Proportional to 379,455.06, 523,647.81 and 209,687.70

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Solution

The fourth proportional to 379,455.06, 523,647.81 and 209,687.70 is: 289,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,455.06 : 523,647.81 = 209,687.70 : x
  2. Step 2: Convert to fraction form
    379,455.06/523,647.81 = 209,687.70/x
  3. Step 3: Cross multiply
    379,455.06x = 523,647.81 × 209,687.70
  4. Step 4: Simplify right side
    379,455.06x = 109,802,504,888.94
  5. Step 5: Solve for x
    x = 109,802,504,888.94/379,455.06
  6. Step 6: Final answer
    x = 289,368.93

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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.