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Finding the Fourth Proportional to 379,896.84, 524,251.17 and 210,130.83

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Solution

The fourth proportional to 379,896.84, 524,251.17 and 210,130.83 is: 289,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,896.84 : 524,251.17 = 210,130.83 : x
  2. Step 2: Convert to fraction form
    379,896.84/524,251.17 = 210,130.83/x
  3. Step 3: Cross multiply
    379,896.84x = 524,251.17 × 210,130.83
  4. Step 4: Simplify right side
    379,896.84x = 110,161,333,480.57
  5. Step 5: Solve for x
    x = 110,161,333,480.57/379,896.84
  6. Step 6: Final answer
    x = 289,976.97

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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.