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Finding the Fourth Proportional to 282,471.21, 389,806.61 and 155,138.63

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Solution

The fourth proportional to 282,471.21, 389,806.61 and 155,138.63 is: 214,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,471.21 : 389,806.61 = 155,138.63 : x
  2. Step 2: Convert to fraction form
    282,471.21/389,806.61 = 155,138.63/x
  3. Step 3: Cross multiply
    282,471.21x = 389,806.61 × 155,138.63
  4. Step 4: Simplify right side
    282,471.21x = 60,474,060,715.62
  5. Step 5: Solve for x
    x = 60,474,060,715.62/282,471.21
  6. Step 6: Final answer
    x = 214,089.29

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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.