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Finding the Fourth Proportional to 389,792.11, 537,913.10 and 210,944.11

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Solution

The fourth proportional to 389,792.11, 537,913.10 and 210,944.11 is: 291,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,792.11 : 537,913.10 = 210,944.11 : x
  2. Step 2: Convert to fraction form
    389,792.11/537,913.10 = 210,944.11/x
  3. Step 3: Cross multiply
    389,792.11x = 537,913.10 × 210,944.11
  4. Step 4: Simplify right side
    389,792.11x = 113,469,600,136.84
  5. Step 5: Solve for x
    x = 113,469,600,136.84/389,792.11
  6. Step 6: Final answer
    x = 291,102.87

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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.