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Finding the Fourth Proportional to 579,709.76, 869,624.28 and 200,629.82

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Solution

The fourth proportional to 579,709.76, 869,624.28 and 200,629.82 is: 300,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,709.76 : 869,624.28 = 200,629.82 : x
  2. Step 2: Convert to fraction form
    579,709.76/869,624.28 = 200,629.82/x
  3. Step 3: Cross multiply
    579,709.76x = 869,624.28 × 200,629.82
  4. Step 4: Simplify right side
    579,709.76x = 174,472,564,938.09
  5. Step 5: Solve for x
    x = 174,472,564,938.09/579,709.76
  6. Step 6: Final answer
    x = 300,965.38

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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.