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Finding the Fourth Proportional to 282,581.70, 389,984.46 and 161,760.90

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Solution

The fourth proportional to 282,581.70, 389,984.46 and 161,760.90 is: 223,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,581.70 : 389,984.46 = 161,760.90 : x
  2. Step 2: Convert to fraction form
    282,581.70/389,984.46 = 161,760.90/x
  3. Step 3: Cross multiply
    282,581.70x = 389,984.46 × 161,760.90
  4. Step 4: Simplify right side
    282,581.70x = 63,084,237,235.61
  5. Step 5: Solve for x
    x = 63,084,237,235.61/282,581.70
  6. Step 6: Final answer
    x = 223,242.47

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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.